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Abstrakty
CONTENTS
Preface...................... 5
Acknowledgment...................... 7
PART A. LINEAR OPERATORS IN LINEAR SPACES
CHAPTER I. Operators with a finite and semifinite dimensional characteristic........ 25
CHAPTER II. Algebraic and almost algebraic operators........ 65
CHAPTER III. Φ_Ξ-operators........ 90
CHAPTER IV. Determinant theory of Φ_Ξ-operators........ 102
PART B. LINEAR OPERATORS IN LINEAR TOPOLOGICAL SPACES
CHAPTER I. Linear topological and linear metric space........ 115
CHAPTER II. Continuous linear operators in linear topological space........ 157
CHAPTER III. Φ-operators in linear topological space........ 182
CHAPTER IV. Compact operators in linear topological space........ 189
PART C. LINEAR OPERATORS IN BANACH SPACE
CHAPTER I. Banach space........ 210
CHAPTER II. Paraalgebras of operators over Banach space........ 238
CHAPTER III. Φ-operators in Banach space........ 275
CHAPTER IV. Φ-points and the theorem on special decomposition........ 298
CHAPTER 5. Perturbations of Φ+-, Φ+- and Φ-operators........ 311
PART D. EXAMPLES OF APPLICATIONS
CHAPTER I. Fredholm Alternative........ 319
CHAPTER II. Singular integral equations........ 331
CHAPTER III. Operator equations with the Fourier transform and similar transforms........ 350
APPENDIX. Hölder and Minkowski inequalities........ 355
Bibliographical remarks........ 357
Bibliography........ 361
List of symbols........ 371
Subject index........ 373
Author index........ 379
Słowa kluczowe
Tematy
Miejsce publikacji
Warszawa
Copyright
Seria
Monografie Matematyczne
tom/nr w serii:
47
Liczba stron
381
Liczba rozdzia³ów
Opis fizyczny
Monografie Matematyczne, Tom 47
Daty
wydano
1968
Twórcy
Bibliografia
Języki publikacji
EN |
Uwagi
Identyfikator YADDA
bwmeta1.element.dl-catalog-08cbc673-4fd7-49a1-8348-01dcab8a23f3
Identyfikatory
Kolekcja
DML-PL

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Equations in linear spaces