Verfügbarkeit: Matrix methods in analysis | Technische Universität München

Matrix methods in analysis:

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Bibliographische Detailangaben
Beteiligte Personen:	Antosik, Piotr (VerfasserIn), Swartz, Charles 1938- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Berlin [u.a.] Springer 1985
Schriftenreihe:	Lecture notes in mathematics 1113
Schlagwörter:	Analyse mathématique Matrices Functional analysis Mathematical analysis Analysis Matrizenrechnung Funktionalanalysis Maßtheorie Unendliche Matrix
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000233835&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	IV, 114 S.
ISBN:	3540151850 0387151850

Internformat

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Datensatz im Suchindex

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adam_text	Contents 1. Introduction 1 Introductory remarks, outline, notation and terminology, Drewnowski Lemma. 2. Basic Matrix Results 7 Basic Matrix Theorem. 3. JC convergence 11 Definition of K convergence, examples, K space, X boundedness, K convergence doesn t imply K bounded, K convergence and K boundedness in the weak and weak* topologies. 4. The Uniform Boundedness Principle 21 General Uniform Boundedness Principle, Classical Uniform Boundedness Principle, Nikodym Boundedness Theorem. 5. Convergence of Operators 29 Classical Banach Steinhaus Theorems, General Banach Steinhaus Theorem, the Brooks Jewett Theorem, Nikodym Convergence and Vitali Kahn Saks Theorems, the Hahn Schur Suinmability Theorem. 6. Bilinear Maps and Hypocontinuity 45 K hypocontinuity, separate continuity implies joint continuity, separate continuity and equicontinuity for sequences of bilinear maps, separate equicon¬ tinuity and equihypocontinuity. IV 7. Orlicz Pettis Theorems 58 Classical Orlicz Pettis Theorem, Tveddle type Orlicz Pettis Theorem, Orlicz Pettis result for compact operators Orlicz Pettis Theorems for the topology of pointwise convergence in function spaces, abstract Orlicz Pettis Theorems. 8. The Schur and Phillips Lemmas 74 General Schur Lemma, Classical Schur Lemma, General Hahn Schur Summability Result, General Phillips Lemma, Classical Phillips Lemma. 9. The Schur Lemma for Bounded Multiplier Convergent Series . . 85 General Schur Lemma for Bounded Multiplier Convergent Series, Summability Result, C convergent series, Schur Lemma for C convergent series. 10. Imbedding c and £°° 94 Weak unconditional Cauchy series, Bessaga Pelczynski Theorem, Diestel s Theorems, Pelczynski s Theorem on unconditionally converging operators, Diestel Faires Theorem, Bessaga Pelczynski Theorem, Rosenthal s Theorem. References 105 Index 110 Notation 113
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illustrated	Not Illustrated
indexdate	2024-12-20T07:20:00Z
institution	BVB
isbn	3540151850 0387151850
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-000233835
oclc_num	230816399
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series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spellingShingle	Antosik, Piotr Swartz, Charles 1938- Matrix methods in analysis Lecture notes in mathematics Analyse mathématique Matrices Functional analysis Mathematical analysis Analysis (DE-588)4001865-9 gnd Matrizenrechnung (DE-588)4126963-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd Maßtheorie (DE-588)4074626-4 gnd Unendliche Matrix (DE-588)4285607-3 gnd
subject_GND	(DE-588)4001865-9 (DE-588)4126963-9 (DE-588)4018916-8 (DE-588)4074626-4 (DE-588)4285607-3
title	Matrix methods in analysis
title_auth	Matrix methods in analysis
title_exact_search	Matrix methods in analysis
title_full	Matrix methods in analysis Piotr Antosik ; Charles Swartz
title_fullStr	Matrix methods in analysis Piotr Antosik ; Charles Swartz
title_full_unstemmed	Matrix methods in analysis Piotr Antosik ; Charles Swartz
title_short	Matrix methods in analysis
title_sort	matrix methods in analysis
topic	Analyse mathématique Matrices Functional analysis Mathematical analysis Analysis (DE-588)4001865-9 gnd Matrizenrechnung (DE-588)4126963-9 gnd Funktionalanalysis (DE-588)4018916-8 gnd Maßtheorie (DE-588)4074626-4 gnd Unendliche Matrix (DE-588)4285607-3 gnd
topic_facet	Analyse mathématique Matrices Functional analysis Mathematical analysis Analysis Matrizenrechnung Funktionalanalysis Maßtheorie Unendliche Matrix
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000233835&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT antosikpiotr matrixmethodsinanalysis AT swartzcharles matrixmethodsinanalysis

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