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Equations in linear spaces

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Przeworska-Rolewicz D., Rolewicz S., Musielak J.

Instytut Matematyczny Polskiej Akademii Nauk

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

Ograniczanie wyników

1 Musielak J.

1 Przeworska-Rolewicz D.

1 Rolewicz S.

1 1968

Wyniki wyszukiwania

Equations in linear spaces