Sequence spaces and nonarchimedean analysis
著者
書誌事項
Sequence spaces and nonarchimedean analysis
Alpha Science International, c2013
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
SEQUENCE SPACES AND NONARCHIMEDEAN ANALYSIS presents the recent developments in the areas of sequence spaces, matrix transformations and nonarchimedean analysis. The topics covered include absolute and strong almost convergence, duality in sequence spaces, functional Banach limits, matrix transformations, valued fields, Banach spaces and Banach algebras over nonarchimedean fields. Although the book starts with basic concepts, most of the results presented here did not appear in any book before. Besides being used as a text for graduate students this book will be useful as a reference book for researchers working in this field.
目次
Sequence Spaces: Topological Vector Spaces and Hahn-Banach Theorems / Banach Limits and Almost Convergence / Absolute Almost Convergence and Strong Almost Convergence / The Space l(p) and Duality in Sequences Spaces / The Spaces l(p) and l(p) / Functional Banach Limits / Linear Transformations / Matrix Transformations / Nonarchimedean Analysis: Valued Fields / Nonarchimedean Normed Spaces / Nonarchimedean Banach Spaces / Nonarchimedean Normed Algebras / Numerical Range / Matrix Transformations on Sequence Spaces Over Nonarchemedean Fields / Appendix / Bibliography / Index.
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