Linear functional analysis

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Linear Functional Analysis resulted from a series of lectures Orlicz gave in Beijing, China, 1958. The orignal edition was published in Chinese in 1963. It contains all the major theorems that would normally appear in a modern text, the results of special interest to the Polish school, and others which are not easily available elsewhere. Orlicz provided in this book some rare insight and motivation in the subject which was initiated by the Polish school. An addendum to some recent results in Or…

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Title Statements

Full title :Linear functional analysis / Władysław Orlicz ; translated by Lee Peng Yee ; addendum by Wu Congxin.

Summary

Edition Statements

Publication Date:©1992.

Publication Statements

Publisher(s):World Scientific
Place of Publication:Singapore
Language:eng
Publication Date:©1992.

The Physical Object

Description:1 online resource (xvi, 246 pages).

Edition Identifiers

ISBN:9789814360012, 9814360015
oclc:ocn846900461
LC Classification:QA320
Dewey Decimal:515/.7

1. Some preliminaries in functional analysis -- 2. Examples of B-spaces and F-spaces -- 3. A unified approach of various useful B-spaces and F-spaces -- 4. Normed spaces induced by given spaces -- 5. Equivalent norms, isomorphism and isometry of spaces -- 6. Topological linear spaces and various concepts of convergence -- 7. Several remarks on different structures of spaces of different kinds -- 8. Unconditional and absolute convergence of series of elements -- 9. Linear functionals on B-spaces and [symbol]-spaces -- 10. Several theorems on weak convergence in B-spaces and [symbol]-spaces -- 11. Conjugate spaces of spaces of various types -- 12. On the continuity of operators. Various theorems on operator sequences -- 13. Some applications on summability theory and bi-orthogonal expansions.