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Bases in Banach Spaces II

Springer Berlin,
Buch
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Kurzbeschreibung

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).

Details
Schlagworte

Titel: Bases in Banach Spaces II
Autoren/Herausgeber: Ivan Singer
Ausgabe: Softcover reprint of the original 1st ed. 1981

ISBN/EAN: 9783642678462

Seitenzahl: 880
Format: 22,9 x 15,2 cm
Produktform: Taschenbuch/Softcover
Gewicht: 1,282 g
Sprache: Englisch

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