Nuclear Locally Convex Spaces

Name: Nuclear Locally Convex Spaces
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642876677
Price: 217.33 PLN
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Autor: Albrecht Pietsch, W.H. Ruckle

Język:

Oprawa: Miękka

Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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VI closely related to finite dimensional locally convex spaces than are normed spaces. In order to p...

Informacje o książce

Autor

Albrecht Pietsch, W.H. Ruckle

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2012

strony

196

EAN

9783642876677

ISBN

3642876676

Enbook ID

02004911

Wydawca

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Waga

326

Wymiary

155 x 235 x 12

Pełny opis

VI closely related to finite dimensional locally convex spaces than are normed spaces. In order to present a clear narrative I have omitted exact references to the literature for individual propositions. However, each chapter begins with a short introduction which also contains historical remarks. Deutsche Akademie der vVissenschaften zu Berlin Institut fur Reine Mathematik Albrecht Pietsch Foreword to the Second Edition Since the appearance of the first edition, some important advances have taken place in the theory of nuclear locally convex spaces. Firsts there is the Universality Theorem ofT. and Y. Komura which fully confirms a conjecture of Grothendieck. Also, of particular interest are some new existence theorems for bases in special nuclear locally convex spaces. Recently many authors have dealt with nuclear spaces of functions and distributions. Moreover, further classes of operators have been found which take the place of nuclear or absolutely summing operators in the theory of nuclear locally convex spaces. Unfortunately, there seem to be no new results on diametrai or approximative dimension and isomorphism of nuclear locally convex spaces. Since major changes have not been absolutely necessary I have restricted myself to minor additions. Only the tenth chapter has been substantially altered. Since the universality results no longer depend on the existence of a basis it was necessary to introduce an independent eleventh chapter on universal nuclear locally convex spaces. In the same chapter s-nuclear locally convex spaces are also briefly treated.

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