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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-電子資源 : 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 :Cambridge University Press, : 2010.,
面頁冊數:	xiv, 472 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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:	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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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.
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