Geometry of Linear 2-normed Spaces PDF Download
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Author: Raymond W. Freese
Publisher: Nova Publishers
ISBN: 9781590330197
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Author: Raymond W. Freese
Publisher: Nova Publishers
ISBN: 9781590330197
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Author: Robert Gardner Bartle
Publisher: American Mathematical Soc.
ISBN: 0821850571
Category : Mathematics
Languages : en
Pages : 186
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Book Description
Features 17 papers that resulted from a 1983 conference held to honor Professor Mahlon Marsh Day upon his retirement from the University of Illinois. This work is suitable for researchers and graduate students in functional analysis.
Author: Mahlon M. Day
Publisher: Springer Science & Business Media
ISBN: 3662090007
Category : Mathematics
Languages : en
Pages : 222
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Book Description
Author: R. G. Birtle
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: L. M. Kelly
Publisher: Springer
ISBN: 3540379460
Category : Mathematics
Languages : en
Pages : 257
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Book Description
Author: J. Diestel
Publisher: Lecture Notes in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Author: J. R. Giles
Publisher: Cambridge University Press
ISBN: 9780521653756
Category : Mathematics
Languages : en
Pages : 298
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Book Description
This is a basic course in functional analysis for senior undergraduate and beginning postgraduate students. The reader need only be familiarity with elementary real and complex analysis, linear algebra and have studied a course in the analysis of metric spaces; knowledge of integration theory or general topology is not required. The text concerns the structural properties of normed linear spaces in general, especially associated with dual spaces and continuous linear operators on normed linear spaces. The implications of the general theory are illustrated with a great variety of example spaces.
Author: Charles Chidume
Publisher: Springer Science & Business Media
ISBN: 1848821891
Category : Mathematics
Languages : en
Pages : 337
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Book Description
The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.
Author:
Publisher: Elsevier
ISBN: 0080871798
Category : Mathematics
Languages : en
Pages : 321
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Book Description
Introduction to Banach Spaces and their Geometry
Author: Juan Jorge Schäffer
Publisher:
ISBN: 9780608089836
Category :
Languages : en
Pages : 228
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Book Description
