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