Bases in Banach Spaces II - Ivan Singer - Livros - Springer-Verlag Berlin and Heidelberg Gm - 9783642678462 - 23 de dezembro de 2011
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Ivan Singer
Bases in Banach Spaces II Softcover Reprint of the Original 1st Ed. 1981 edition

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Since the appearance, in 1970, of Vol. I of the present monograph 1370], the theory of bases in Banach spaces has developed substantially. Therefore, the present volume contains only Ch. III of the monograph, instead of Ch. Ill, IV and V, as was planned initially (cp. the table of contents of Vol. I). Since this volume is a continuation of Vol. I of the same monograph, we shall refer to the results of Vol. I directly as results of Ch. I or Ch. II (without specifying Vol. I). On the other hand, sometimes we shall also mention that certain results will be considered in Vol. III (Ch. IV, V). In spite of the many new advances made in this field, the statement in the Preface to Vol. I, that "the existing books on functional analysis contain only a few results on bases", remains still valid, with the exception of the recent book [248 a] of J. Lindenstrauss and L. Tzafriri. Since we have learned about [248 a] only in 1978, in this volume there are only references to previous works, instead of [248 a]; however, this will cause no inconvenience, since the intersec­ tion of the present volume with [248 a] is very small. Let us also mention the appearance, since 1970, of some survey papers on bases in Banach spaces (V. D. Milman [287], [288], C. W. McArthur [275]; M. I. Kadec [204], § 3 and others).

880 pages, biography

Mídia Livros     Paperback Book   (Livro de capa flexível e brochura)
Lançado 23 de dezembro de 2011
ISBN13 9783642678462
Editoras Springer-Verlag Berlin and Heidelberg Gm
Páginas 880
Dimensões 152 × 229 × 45 mm   ·   1,17 kg
Idioma Inglês  

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