Equations in linear spaces

Przeworska-Rolewicz, Danuta ; Rolewicz, Stefan

GDML_Books, (1968), p.

Résumé

CONTENTSPreface...................... 5Acknowledgment...................... 7PART A. LINEAR OPERATORS IN LINEAR SPACESCHAPTER I. Operators with a finite and semifinite dimensional characteristic........ 25CHAPTER II. Algebraic and almost algebraic operators........ 65CHAPTER III. Φ_Ξ-operators........ 90CHAPTER IV. Determinant theory of Φ_Ξ-operators........ 102PART B. LINEAR OPERATORS IN LINEAR TOPOLOGICAL SPACESCHAPTER I. Linear topological and linear metric space........ 115CHAPTER II. Continuous linear operators in linear topological space........ 157CHAPTER III. Φ-operators in linear topological space........ 182CHAPTER IV. Compact operators in linear topological space........ 189PART C. LINEAR OPERATORS IN BANACH SPACECHAPTER I. Banach space........ 210CHAPTER II. Paraalgebras of operators over Banach space........ 238CHAPTER III. Φ-operators in Banach space........ 275CHAPTER IV. Φ-points and the theorem on special decomposition........ 298CHAPTER 5. Perturbations of Φ+-, Φ+- and Φ-operators........ 311PART D. EXAMPLES OF APPLICATIONSCHAPTER I. Fredholm Alternative........ 319CHAPTER II. Singular integral equations........ 331CHAPTER III. Operator equations with the Fourier transform and similar transforms........ 350APPENDIX. Hölder and Minkowski inequalities........ 355Bibliographical remarks........ 357Bibliography........ 361List of symbols........ 371Subject index........ 373Author index........ 379

Détail

Zbl 0181.40501

EUDML-ID : urn:eudml:doc:219294