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Locally convex spaces over non-Archi...

Perez-Garcia, C., (1956-)

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Locally convex spaces over non-Archimedean valued fields

Record Type:	Electronic resources : Monograph/item
Title/Author:	Locally convex spaces over non-Archimedean valued fields/ C. Perez-Garcia, W.H. Schikhof.
Author:	Perez-Garcia, C.,
other author:	Schikhof, Wilhelmus Hendricus.
Published:	Cambridge :Cambridge University Press, : 2010.,
Description:	xiv, 472 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Ultrametrics and valuations -- Normed spaces -- Locally convex spaces -- The Hahn-Banach theorem -- The weak topology -- C-compactness -- Barrelledness and reflexivity -- Montel and nuclear spaces -- Spaces with an "orthogonal" base -- Tensor products -- Inductive limits.
Subject:	Locally convex spaces. -
Online resource:	https://doi.org/10.1017/CBO9780511729959
ISBN:	9780511729959

Locally convex spaces over non-Archimedean valued fields
Perez-Garcia, C.,1956-

Locally convex spaces over non-Archimedean valued fields[electronic resource] /C. Perez-Garcia, W.H. Schikhof. - Cambridge :Cambridge University Press,2010. - xiv, 472 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;119. - Cambridge studies in advanced mathematics ;119..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Ultrametrics and valuations -- Normed spaces -- Locally convex spaces -- The Hahn-Banach theorem -- The weak topology -- C-compactness -- Barrelledness and reflexivity -- Montel and nuclear spaces -- Spaces with an "orthogonal" base -- Tensor products -- Inductive limits.

Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.

ISBN: 9780511729959Subjects--Topical Terms:

663576
Locally convex spaces.

LC Class. No.: QA322 / .P425 2010

Dewey Class. No.: 515.73

Locally convex spaces over non-Archimedean valued fields
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245 1 0 $a Locally convex spaces over non-Archimedean valued fields $h [electronic resource] / $c C. Perez-Garcia, W.H. Schikhof.
260 $a Cambridge : $b Cambridge University Press, $c 2010.
300 $a xiv, 472 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 119
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Ultrametrics and valuations -- Normed spaces -- Locally convex spaces -- The Hahn-Banach theorem -- The weak topology -- C-compactness -- Barrelledness and reflexivity -- Montel and nuclear spaces -- Spaces with an "orthogonal" base -- Tensor products -- Inductive limits.
520 $a Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.
650 0 $a Locally convex spaces. $3 663576
650 0 $a Functional analysis. $3 531838
700 1 $a Schikhof, Wilhelmus Hendricus. $3 706459
830 0 $a Cambridge studies in advanced mathematics ; $v 119. $3 3470484
856 4 0 $u https://doi.org/10.1017/CBO9780511729959