Holdings: Introduction to Hilbert space

Introduction to Hilbert space:

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Bibliographic Details
Main Author:	Berberian, Sterling K. (Author)
Format:	Book
Language:	English
Published:	New York, NY Chelsea Publ. Co. 1976
Edition:	2. ed.
Subjects:	Hilbert, Espace de Hilbert space Hilbert-Raum
Online Access:	Inhaltsverzeichnis
Physical Description:	206 S.
ISBN:	0828402876

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MARC


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Record in the Search Index

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adam_text	Contents Chapter I. VECTOR SPACES § 1. Complex vector spaces 3 § 2. First properties of vector spaces 6 § 3. Finite sums of vectors 7 § 4. Linear combinations of vectors 11 § 5. Linear subspaces, linear dependence 13 § 6. Linear independence 17 § 7. Basis, dimension 21 §8. Coda 24 Chapter II. HUBERT SPACES § 1. Pre Hilbert spaces 25 § 2. First properties of pre Hilbert spaces 27 § 3. The norm of a vector 28 § 4. Metric spaces 33 § 5. Metric notions in pre Hilbert space; Hilbert spaces 39 § 6. Orthogonal vectors, orthonormal vectors 43 § 7. Infinite sums in Hilbert space 49 § 8. Total sets, separable Hilbert spaces, orthonormal bases 51 § 9. Isomorphic Hilbert spaces; classical Hilbert space 55 Chapter III. CLOSED UNEAR SUBSPACES § 1. Some notations from set theory 57 § 2. Annihilators 59 § 3. Closed linear subspaces 62 § 4. Complete linear subspaces 65 § 5. Convex sets, minimizing vector 67 § 6. Orthogonal complement 70 § 7. Mappings 73 §8. Projection 74 i* x Contents Chapter IV. CONTINUOUS LINEAR MAPPINGS § 1. Linear mappings 77 § 2. Isomorphic vector spaces 82 §3. The vector space £CU,W) 84 § 4. Composition of mappings 86 §5. The algebra £(V) 88 § 6. Continuous mappings 91 § 7. Normed spaces, Banach spaces, continuous linear mappings 92 § 8. The normed space £C(S,3:) 100 § 9. The normed algebra £C(S), Banach algebras 103 § 10. The dual space S 104 Chapter V. CONTINUOUS LINEAR FORMS IN HUBERT SPACE § 1. Riesz Frechet theorem 109 §2. Completion 111 §3. Bilinear mappings 116 § 4. Bounded bilinear mappings 120 § 5. Sesquilinear mappings 123 § 6. Bounded sesquilinear mappings 128 § 7. Bounded sesquilinear forms in Hilbert space 130 §8. Adjoints 131 Chapter VI. OPERATORS IN HILBERT SPACE § 1. Manifesto 139 § 2. Preliminaries 140 § 3. An example 141 § 4. Isometric operators 143 § 5. Unitary operators 145 § 6. Self adjoint operators 147 § 7. Projection operators 151 § 8. Normal operators 154 § 9. Invariant and reducing subspaces 156 Chapter VII. PROPER VALUES § 1. Proper vectors, proper values 163 § 2. Proper subspaces 166 § 3. Approximate proper values 168 Contents xi Chapter VIII. COMPLETELY CONTINUOUS OPERATORS § 1. Completely continuous operators 172 § 2. An example 177 § 3. Proper values of CC operators 178 § 4. Spectral theorem for a normal CC operator 181 Appendix 189 Index 203
adam_txt	Contents Chapter I. VECTOR SPACES § 1. Complex vector spaces 3 § 2. First properties of vector spaces 6 § 3. Finite sums of vectors 7 § 4. Linear combinations of vectors 11 § 5. Linear subspaces, linear dependence 13 § 6. Linear independence 17 § 7. Basis, dimension 21 §8. Coda 24 Chapter II. HUBERT SPACES § 1. Pre Hilbert spaces 25 § 2. First properties of pre Hilbert spaces 27 § 3. The norm of a vector 28 § 4. Metric spaces 33 § 5. Metric notions in pre Hilbert space; Hilbert spaces 39 § 6. Orthogonal vectors, orthonormal vectors 43 § 7. Infinite sums in Hilbert space 49 § 8. Total sets, separable Hilbert spaces, orthonormal bases 51 § 9. Isomorphic Hilbert spaces; classical Hilbert space 55 Chapter III. CLOSED UNEAR SUBSPACES § 1. Some notations from set theory 57 § 2. Annihilators 59 § 3. Closed linear subspaces 62 § 4. Complete linear subspaces 65 § 5. Convex sets, minimizing vector 67 § 6. Orthogonal complement 70 § 7. Mappings 73 §8. Projection 74 i* x Contents Chapter IV. CONTINUOUS LINEAR MAPPINGS § 1. Linear mappings 77 § 2. Isomorphic vector spaces 82 §3. The vector space £CU,W) 84 § 4. Composition of mappings 86 §5. The algebra £(V) 88 § 6. Continuous mappings 91 § 7. Normed spaces, Banach spaces, continuous linear mappings 92 § 8. The normed space £C(S,3:) 100 § 9. The normed algebra £C(S), Banach algebras 103 § 10. The dual space S' 104 Chapter V. CONTINUOUS LINEAR FORMS IN HUBERT SPACE § 1. Riesz Frechet theorem 109 §2. Completion 111 §3. Bilinear mappings 116 § 4. Bounded bilinear mappings 120 § 5. Sesquilinear mappings 123 § 6. Bounded sesquilinear mappings 128 § 7. Bounded sesquilinear forms in Hilbert space 130 §8. Adjoints 131 Chapter VI. OPERATORS IN HILBERT SPACE § 1. Manifesto 139 § 2. Preliminaries 140 § 3. An example 141 § 4. Isometric operators 143 § 5. Unitary operators 145 § 6. Self adjoint operators 147 § 7. Projection operators 151 § 8. Normal operators 154 § 9. Invariant and reducing subspaces 156 Chapter VII. PROPER VALUES § 1. Proper vectors, proper values 163 § 2. Proper subspaces 166 § 3. Approximate proper values 168 Contents xi Chapter VIII. COMPLETELY CONTINUOUS OPERATORS § 1. Completely continuous operators 172 § 2. An example 177 § 3. Proper values of CC operators 178 § 4. Spectral theorem for a normal CC operator 181 Appendix 189 Index 203
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spelling	Berberian, Sterling K. Verfasser aut Introduction to Hilbert space Sterling K. Berberian 2. ed. New York, NY Chelsea Publ. Co. 1976 206 S. txt rdacontent n rdamedia nc rdacarrier Hilbert, Espace de Hilbert space Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015152714&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Berberian, Sterling K. Introduction to Hilbert space Hilbert, Espace de Hilbert space Hilbert-Raum (DE-588)4159850-7 gnd
subject_GND	(DE-588)4159850-7
title	Introduction to Hilbert space
title_auth	Introduction to Hilbert space
title_exact_search	Introduction to Hilbert space
title_exact_search_txtP	Introduction to Hilbert space
title_full	Introduction to Hilbert space Sterling K. Berberian
title_fullStr	Introduction to Hilbert space Sterling K. Berberian
title_full_unstemmed	Introduction to Hilbert space Sterling K. Berberian
title_short	Introduction to Hilbert space
title_sort	introduction to hilbert space
topic	Hilbert, Espace de Hilbert space Hilbert-Raum (DE-588)4159850-7 gnd
topic_facet	Hilbert, Espace de Hilbert space Hilbert-Raum
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