[PDF] Stereotype Spaces And Algebras eBook

Author : Sergei S. Akbarov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 871 pages
File Size : 20,64 MB
Release : 2022-08-22
Category : Mathematics
ISBN : 3110780968

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The term “stereotype space” was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties. Its study gives an unexpected point of view on functional analysis that brings this fi eld closer to other main branches of mathematics, namely, to algebra and geometry. This volume contains the foundations of the theory of stereotype spaces, with accurate definitions, formulations, proofs, and numerous examples illustrating the interaction of this discipline with the category theory, the theory of Hopf algebras, and the four big geometric disciplines: topology, differential geometry, complex geometry, and algebraic geometry.

Author : Sergei S. Akbarov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 794 pages
File Size : 26,31 MB
Release : 2022-08-22
Category : Mathematics
ISBN : 3110780917

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The term "stereotype space" was introduced in 1995 and is used for a category of locally convex spaces with surprisingly elegant properties. In particular, it consists of spaces reflexive in the sense of Pontryagin, and at the same time it is very wide, since it contains all Fréchet spaces. Its study gives an unexpected point of view on functional analysis that brings this field closer to other main branches of mathematics, namely, to algebra and geometry.

Author : M. Fragoulopoulou
Publisher : Elsevier
Page : 514 pages
File Size : 39,85 MB
Release : 2005-07-26
Category : Mathematics
ISBN : 0080461220

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This book familiarizes both popular and fundamental notions and techniques from the theory of non-normed topological algebras with involution, demonstrating with examples and basic results the necessity of this perspective. The main body of the book is focussed on the Hilbert-space (bounded) representation theory of topological *-algebras and their topological tensor products, since in our physical world, apart from the majority of the existing unbounded operators, we often meet operators that are forced to be bounded, like in the case of symmetric *-algebras. So, one gets an account of how things behave, when the mathematical structures are far from being algebras endowed with a complete or non-complete algebra norm. In problems related with mathematical physics, such instances are, indeed, quite common. Key features: - Lucid presentation- Smooth in reading- Informative- Illustrated by examples- Familiarizes the reader with the non-normed *-world- Encourages the hesitant- Welcomes new comers. - Well written and lucid presentation.- Informative and illustrated by examples.- Familiarizes the reader with the non-normed *-world.

Author : Walter Roth
Publisher : Walter de Gruyter GmbH & Co KG
Page : 266 pages
File Size : 35,77 MB
Release : 2023-10-04
Category : Mathematics
ISBN : 3111315479

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This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued functions on a locally compact space. These are used to extend Choquet theory, which was originally formulated for linear functionals on spaces of real-valued functions, to operators of this type.

Author : Friedrich Haslinger
Publisher : Walter de Gruyter GmbH & Co KG
Page : 336 pages
File Size : 30,84 MB
Release : 2023-09-18
Category : Mathematics
ISBN : 3111182924

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This book's subject lies in the nexus of partial differential equations, operator theory, and complex analysis. The spectral analysis of the complex Laplacian and the compactness of the d-bar-Neumann operator are primary topics.The revised 2nd edition explores updates to Schrödinger operators with magnetic fields and connections to the Segal Bargmann space (Fock space), to quantum mechanics, and the uncertainty principle.

Author :
Publisher : Nova Biomedical Books
Page : 230 pages
File Size : 12,7 MB
Release : 2000
Category : Mathematics
ISBN :

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Contains some results obtained during seminars over the last few years. The seven papers discuss stereotype spaces, algebras and homologies; flat operator modules and their dual modules; homological dimensions of C*- algebras; Wedderburn-type theorems for operator algebras and modules; injective topological modules and additivity formulas for homological dimensions; coretraction problems and homological properties of Banach algebras; and the Sobolev algebra and indecomposable spatially projective operator algebras.

Author : John Bonnycastle
Publisher : Trieste Publishing
Page : 294 pages
File Size : 14,5 MB
Release : 2017-09-17
Category :
ISBN : 9780649055951

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