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     Monografie Matematyczne    

Volume 47

Equations in linear spaces

Danuta Przeworska-Rolewicz, Stefan Rolewicz

Warszawa 1968

Contents

PART A LINEAR OPERATORS IN LINEAR SPACES 

1. Operators whit a finite and semifinite dimensional characteristic
2. Algebric and almost algebric operators
3. PhiKsi-operators
4. Determinant theory of PhiKsi-operators 

PART B LINEAR OPERATORS IN LINEAR TOPOLOGICAL SPACES 

1. Linear topological and linear metric space
2. Continuous linear operators in linear topological space
3. Phi-operators in linear topological space
4. Compact operators in linear topological space 

PART C LINEAR OPERATORS IN BANACH SPACE 

1. Banach space
2. Paraalgebras of operators over Banach space
3. Phi-operators in Banach space
4. Phi-points and the theorem on special decomposition
5. Perturbations of Phi +-, Phi +- and Phi-operators 

PART D EXAMPLES OF APPLICATIONS 

1. Fredholm Alternative
2. Sigular integral equations
3. Operator equations with the Fourier transform and similar transforms
 

APPENDIX HÖLDER AND MINKOWSKI INEQUALITIES 

 

Materiały redakcyjne  

Preface, biblographical remarks, bibliography, list of symbols, subject index, author index, errata 

 
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