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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 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Locally convex spaces over non-Archimedean valued fields // C. Perez-Garcia, W.H. Schikhof.
作者:	Perez-Garcia, C.,
其他作者:	Schikhof, Wilhelmus Hendricus.
出版者:	Cambridge, UK ;Cambridge University Press, : 2010.,
面頁冊數:	xiv, 472 p. :ill. ;24 cm.
叢書名:	Cambridge studies in advanced mathematics ;
內容註:	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.
標題:	Locally convex spaces. -
電子資源:	http://assets.cambridge.org/97805211/92439/cover/9780521192439.jpg
ISBN:	9780521192439 (hardback) :

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

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

Includes bibliographical references (p. 457-467) and index.

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"--Provided by publisher.

ISBN: 9780521192439 (hardback) :US110.00

LCCN: 2009043374

Nat. Bib. No.: GBA991013bnb

Nat. Bib. Agency Control No.: 015371298UkSubjects--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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020 $a 0521192439 (hardback)
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100 1 $a Perez-Garcia, C., $d 1956- $3 706460
245 1 0 $a Locally convex spaces over non-Archimedean valued fields / $c C. Perez-Garcia, W.H. Schikhof.
260 # $a Cambridge, UK ; $a New York : $b Cambridge University Press, $c 2010.
300 $a xiv, 472 p. : $b ill. ; $c 24 cm.
440 0 $a Cambridge studies in advanced mathematics ; $v 119
504 $a Includes bibliographical references (p. 457-467) and index.
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"--Provided by publisher.
520 # $a "LOCALLY CONVEX SPACES OVER NON-ARCHIMEDEAN VALUED FIELDS 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. CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS"--Provided by publisher.
650 # 0 $a Locally convex spaces. $3 663576
650 # 0 $a Functional analysis. $3 531838
700 1 # $a Schikhof, Wilhelmus Hendricus. $3 706459
856 4 2 $3 Cover image $u http://assets.cambridge.org/97805211/92439/cover/9780521192439.jpg