Preface | |
Chinese translator's preface | |
Preface to the chinese edition | |
Acknowledgement | |
Some preliminaries in functional analysis | p. 1 |
Examples of B-spaces and F-spaces | p. 6 |
A unified approach of various useful B-spaces and F-spaces | p. 11 |
Normed spaces induced by given spaces | p. 24 |
Equivalent norms, isomorphism and isometry of spaces | p. 32 |
Topological linear spaces and various concepts of convergence | p. 37 |
Several remarks on different structures of spaces of different kinds | p. 50 |
Unconditional and absolute convergence of series of elements | p. 53 |
Linear functionals on B-spaces and B[subscript 0]-spaces | p. 63 |
Several theorems on weak convergence in B-spaces and B[subscript 0]-spaces | p. 90 |
Conjugate spaces of spaces of various types | p. 102 |
On the continuity of operators. Various theorems on operator sequences | p. 121 |
Some applications on summability theory and bi-orthogonal expansions | p. 136 |
Addendum: Some results in Orlicz spaces | |
A formula for Orlicz norm and its applications | p. 153 |
Bounded linear functionals on the Orlicz space and smoothness | p. 163 |
Integral operators on the Orlicz spaces | p. 170 |
Orlicz sequence spaces and Orlicz-Musielak sequence spaces | p. 178 |
Generalized Orlicz spaces L[actual symbols not reproducible][a,b] | p. 186 |
Orthogonally additive functionals | p. 195 |
The significance of Orlicz spaces | p. 203 |
Exercises | p. 211 |
Bibliography | p. 237 |
Index | p. 244 |
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