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The Resource Spectral theory of linear differential operators and comparison algebras, H.O. Cordes, (electronic resource)
Spectral theory of linear differential operators and comparison algebras, H.O. Cordes, (electronic resource)
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The item Spectral theory of linear differential operators and comparison algebras, H.O. Cordes, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.This item is available to borrow from all library branches.
Resource Information
The item Spectral theory of linear differential operators and comparison algebras, H.O. Cordes, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Manitoba Libraries.
This item is available to borrow from all library branches.
 Summary
 The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*algebra of singular integral operators
 Language

 eng
 eng
 Extent
 1 online resource (354 p.)
 Note
 Description based upon print version of record
 Contents

 Cover; Title; Copyright; Preface; Contents; Chapter 1. Abstract spectral theory in Hilbert spaces; 1.1. Unbounded linear operators on Banach and Hilbert spaces; 1.2. Selfadjoint extensions of hermitian operators; 1.3. On the spectral theorem for selfadjoint operators.; 1.4. Proof of the spectral theorem; 1.5. A result on powers of positive operators; 1.6. On HSchains 2; Chapter 2. Spectral theory of differential operators; 2.1. Linear differential operators on a subdomain of ln; 2.2. Generalized boundary problems; ordinary differential expressions
 2.3. Singular endpoints of a 2rth order SturmLiouville problem2.4. The spectral theorem for a second order expression; Chapter 3. Second order elliptic expressions on manifolds; 3.1. 2nd order partial differential expressions on manifolds; Weyl!s lemma; Dirichlet operator; 3.2. Boundary regularity for the Dirichlet realization; 3.3. Compactness of the resolvent of the Friedrichs extension; 3.4. A Green's function for H and Hd and a mean value inequality; 3.5. Harnack inequality; Dirichlet problem; maximum principle; 3.6. Change of dependent variable; normal forms
 positivity of the Green's functionChapter 4. Essential selfadjointness of the Minimal Operator; 4.1. Essential selfadjointness of powers of H0; 4.2. Essential selfadjointness of HQ; 4.3. Proof of theorem 1.1; 4.4. Proof of Frehse's theorem; 4.5. More criteria for essential selfadjointness; Chapter 5. C Comparison algebras; 5.1. Comparison operators and comparison algebras; 5.2. Differential expressions of order _< 2; 5.3. Compactness criteria for commutators; 5.4. Comparison algebras with compact commutators; 5.5. A discussion of onedimensional problems
 5.6. An expansion for expressions within reach of an algebra CChapter 6. Minimal comparison algebra and wave front space.; 6.1. The local invariance of the minimal comparison algebra; 6.2. The wave front space; 6.3. Differential expressions within reach of the algebra J0; 6.4. The Sobolev estimate for elliptic expressions expressions on a compact; Chapter 7. The secondary symbol space; 7.1. The symbol space of a general comparison algebra; 7.2. The space flAw , and some examples; 7.3. Stronger conditions and more detail on M\W .; 7.4. More structure of ffi , and more on examples
 Chapter 8. Comparison algebras with noncompact commutators8.1. An algebra invariant under a discrete translation group; 8.2. A C algebra on a polycylinder; 8.3. Algebra surgery; 8.4. Complete Riemannian manifolds with cylindrical ends; Chapter 9. H Algebras; higher order s operators within reach; 9.1. Higher order Sobolev spaces and H comparison algebras; 9.2. Closer analysis of some of the conditions (1.) and (m.); 9.3. Higher order differential expressions within reach of C or Cs; 9.4. Symbol calculus in W; 9.5. Local properties of the Sobolev spaces Hs
 9.6. Sobolev norms of integral order
 Isbn
 9781107361102
 Label
 Spectral theory of linear differential operators and comparison algebras
 Title
 Spectral theory of linear differential operators and comparison algebras
 Statement of responsibility
 H.O. Cordes
 Language

 eng
 eng
 Summary
 The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*algebra of singular integral operators
 Cataloging source
 MiAaPQ
 http://library.link/vocab/creatorDate
 1925
 http://library.link/vocab/creatorName
 Cordes, H. O.
 Dewey number

 515.7/242
 515.7242
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA329.4
 LC item number
 .C67 1987
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 London Mathematical Society lecture note series,
 Series volume
 76
 http://library.link/vocab/subjectName

 Differential operators
 Linear operators
 Label
 Spectral theory of linear differential operators and comparison algebras, H.O. Cordes, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographic references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; Title; Copyright; Preface; Contents; Chapter 1. Abstract spectral theory in Hilbert spaces; 1.1. Unbounded linear operators on Banach and Hilbert spaces; 1.2. Selfadjoint extensions of hermitian operators; 1.3. On the spectral theorem for selfadjoint operators.; 1.4. Proof of the spectral theorem; 1.5. A result on powers of positive operators; 1.6. On HSchains 2; Chapter 2. Spectral theory of differential operators; 2.1. Linear differential operators on a subdomain of ln; 2.2. Generalized boundary problems; ordinary differential expressions
 2.3. Singular endpoints of a 2rth order SturmLiouville problem2.4. The spectral theorem for a second order expression; Chapter 3. Second order elliptic expressions on manifolds; 3.1. 2nd order partial differential expressions on manifolds; Weyl!s lemma; Dirichlet operator; 3.2. Boundary regularity for the Dirichlet realization; 3.3. Compactness of the resolvent of the Friedrichs extension; 3.4. A Green's function for H and Hd and a mean value inequality; 3.5. Harnack inequality; Dirichlet problem; maximum principle; 3.6. Change of dependent variable; normal forms
 positivity of the Green's functionChapter 4. Essential selfadjointness of the Minimal Operator; 4.1. Essential selfadjointness of powers of H0; 4.2. Essential selfadjointness of HQ; 4.3. Proof of theorem 1.1; 4.4. Proof of Frehse's theorem; 4.5. More criteria for essential selfadjointness; Chapter 5. C Comparison algebras; 5.1. Comparison operators and comparison algebras; 5.2. Differential expressions of order _< 2; 5.3. Compactness criteria for commutators; 5.4. Comparison algebras with compact commutators; 5.5. A discussion of onedimensional problems
 5.6. An expansion for expressions within reach of an algebra CChapter 6. Minimal comparison algebra and wave front space.; 6.1. The local invariance of the minimal comparison algebra; 6.2. The wave front space; 6.3. Differential expressions within reach of the algebra J0; 6.4. The Sobolev estimate for elliptic expressions expressions on a compact; Chapter 7. The secondary symbol space; 7.1. The symbol space of a general comparison algebra; 7.2. The space flAw , and some examples; 7.3. Stronger conditions and more detail on M\W .; 7.4. More structure of ffi , and more on examples
 Chapter 8. Comparison algebras with noncompact commutators8.1. An algebra invariant under a discrete translation group; 8.2. A C algebra on a polycylinder; 8.3. Algebra surgery; 8.4. Complete Riemannian manifolds with cylindrical ends; Chapter 9. H Algebras; higher order s operators within reach; 9.1. Higher order Sobolev spaces and H comparison algebras; 9.2. Closer analysis of some of the conditions (1.) and (m.); 9.3. Higher order differential expressions within reach of C or Cs; 9.4. Symbol calculus in W; 9.5. Local properties of the Sobolev spaces Hs
 9.6. Sobolev norms of integral order
 Dimensions
 unknown
 Extent
 1 online resource (354 p.)
 Form of item
 online
 Isbn
 9781107361102
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2610000000003328
 (EBL)1182399
 (SSID)ssj0000464181
 (PQKBManifestationID)11322841
 (PQKBTitleCode)TC0000464181
 (PQKBWorkID)10420718
 (PQKB)10486144
 (UkCbUP)CR9780511662836
 (MiAaPQ)EBC1182399
 (EXLCZ)992610000000003328
 Label
 Spectral theory of linear differential operators and comparison algebras, H.O. Cordes, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographic references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents

 Cover; Title; Copyright; Preface; Contents; Chapter 1. Abstract spectral theory in Hilbert spaces; 1.1. Unbounded linear operators on Banach and Hilbert spaces; 1.2. Selfadjoint extensions of hermitian operators; 1.3. On the spectral theorem for selfadjoint operators.; 1.4. Proof of the spectral theorem; 1.5. A result on powers of positive operators; 1.6. On HSchains 2; Chapter 2. Spectral theory of differential operators; 2.1. Linear differential operators on a subdomain of ln; 2.2. Generalized boundary problems; ordinary differential expressions
 2.3. Singular endpoints of a 2rth order SturmLiouville problem2.4. The spectral theorem for a second order expression; Chapter 3. Second order elliptic expressions on manifolds; 3.1. 2nd order partial differential expressions on manifolds; Weyl!s lemma; Dirichlet operator; 3.2. Boundary regularity for the Dirichlet realization; 3.3. Compactness of the resolvent of the Friedrichs extension; 3.4. A Green's function for H and Hd and a mean value inequality; 3.5. Harnack inequality; Dirichlet problem; maximum principle; 3.6. Change of dependent variable; normal forms
 positivity of the Green's functionChapter 4. Essential selfadjointness of the Minimal Operator; 4.1. Essential selfadjointness of powers of H0; 4.2. Essential selfadjointness of HQ; 4.3. Proof of theorem 1.1; 4.4. Proof of Frehse's theorem; 4.5. More criteria for essential selfadjointness; Chapter 5. C Comparison algebras; 5.1. Comparison operators and comparison algebras; 5.2. Differential expressions of order _< 2; 5.3. Compactness criteria for commutators; 5.4. Comparison algebras with compact commutators; 5.5. A discussion of onedimensional problems
 5.6. An expansion for expressions within reach of an algebra CChapter 6. Minimal comparison algebra and wave front space.; 6.1. The local invariance of the minimal comparison algebra; 6.2. The wave front space; 6.3. Differential expressions within reach of the algebra J0; 6.4. The Sobolev estimate for elliptic expressions expressions on a compact; Chapter 7. The secondary symbol space; 7.1. The symbol space of a general comparison algebra; 7.2. The space flAw , and some examples; 7.3. Stronger conditions and more detail on M\W .; 7.4. More structure of ffi , and more on examples
 Chapter 8. Comparison algebras with noncompact commutators8.1. An algebra invariant under a discrete translation group; 8.2. A C algebra on a polycylinder; 8.3. Algebra surgery; 8.4. Complete Riemannian manifolds with cylindrical ends; Chapter 9. H Algebras; higher order s operators within reach; 9.1. Higher order Sobolev spaces and H comparison algebras; 9.2. Closer analysis of some of the conditions (1.) and (m.); 9.3. Higher order differential expressions within reach of C or Cs; 9.4. Symbol calculus in W; 9.5. Local properties of the Sobolev spaces Hs
 9.6. Sobolev norms of integral order
 Dimensions
 unknown
 Extent
 1 online resource (354 p.)
 Form of item
 online
 Isbn
 9781107361102
 Media category
 computer
 Media type code
 c
 Specific material designation
 remote
 System control number

 (CKB)2610000000003328
 (EBL)1182399
 (SSID)ssj0000464181
 (PQKBManifestationID)11322841
 (PQKBTitleCode)TC0000464181
 (PQKBWorkID)10420718
 (PQKB)10486144
 (UkCbUP)CR9780511662836
 (MiAaPQ)EBC1182399
 (EXLCZ)992610000000003328
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