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Author: Irwin E. Schochetman
Publisher: American Mathematical Soc.
ISBN: 9780821859605
Category :
Languages : en
Pages : 53
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Book Description
Author: Irwin E. Schochetman
Publisher: American Mathematical Soc.
ISBN: 9780821859605
Category :
Languages : en
Pages : 53
Get Book Here
Book Description
Author: Irwin E. Schochetman
Publisher: American Mathematical Soc.
ISBN: 0821822071
Category : Mathematics
Languages : en
Pages : 66
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Book Description
The primary purpose of this memoir is to give a realization of the representation [italic]U of a locally compact group [italic]G, induced from a representation [italic]L of a closed subgroup [italic]H, on a continuous sum of Banach spaces over the coset space [italic]G/[italic]H.
Author: J. M. G. Fell
Publisher: Springer
ISBN: 3540699775
Category : Mathematics
Languages : en
Pages : 354
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Book Description
Author: P. R. Halmos
Publisher: Springer Science & Business Media
ISBN: 3642670164
Category : Mathematics
Languages : en
Pages : 147
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Book Description
The subject. The phrase "integral operator" (like some other mathematically informal phrases, such as "effective procedure" and "geometric construction") is sometimes defined and sometimes not. When it is defined, the definition is likely to vary from author to author. While the definition almost always involves an integral, most of its other features can vary quite considerably. Superimposed limiting operations may enter (such as L2 limits in the theory of Fourier transforms and principal values in the theory of singular integrals), IJ' spaces and abstract Banach spaces may intervene, a scalar may be added (as in the theory of the so-called integral operators of the second kind), or, more generally, a multiplication operator may be added (as in the theory of the so-called integral operators of the third kind). The definition used in this book is the most special of all. According to it an integral operator is the natural "continuous" generali zation of the operators induced by matrices, and the only integrals that appear are the familiar Lebesgue-Stieltjes integrals on classical non-pathological mea sure spaces. The category. Some of the flavor of the theory can be perceived in finite dimensional linear algebra. Matrices are sometimes considered to be an un natural and notationally inelegant way of looking at linear transformations. From the point of view of this book that judgement misses something.
Author: J. M.G. Fell
Publisher: Academic Press
ISBN: 0080874452
Category : Mathematics
Languages : en
Pages : 755
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Book Description
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.
Author: Jaroslav Lukeš
Publisher: Walter de Gruyter
ISBN: 3110203200
Category : Mathematics
Languages : en
Pages : 732
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Book Description
This monograph presents the state of the art of convexity, with an emphasis to integral representation. The exposition is focused on Choquet's theory of function spaces with a link to compact convex sets. An important feature of the book is an interplay between various mathematical subjects, such as functional analysis, measure theory, descriptive set theory, Banach spaces theory and potential theory. A substantial part of the material is of fairly recent origin and many results appear in the book form for the first time. The text is self-contained and covers a wide range of applications. From the contents: Geometry of convex sets Choquet theory of function spaces Affine functions on compact convex sets Perfect classes of functions and representation of affine functions Simplicial function spaces Choquet's theory of function cones Topologies on boundaries Several results on function spaces and compact convex sets Continuous and measurable selectors Construction of function spaces Function spaces in potential theory and Dirichlet problem Applications
Author: Irwin E. Schochetman
Publisher: American Mathematical Soc.
ISBN: 0821822020
Category : Mathematics
Languages : en
Pages : 130
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Book Description
The purpose of this memoir is twofold: to extend the notions of kernel and integral operator to the context of continuous sums of Banach spaces; and to extend to this setting, certain well-known conditions for an integral operator to be compact, Hilbert-Schmidt and trace-class.
Author: Naum I︠A︡kovlevich Krupnik
Publisher: Birkhauser
ISBN:
Category : Mathematics
Languages : en
Pages : 224
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Book Description
Author: Theodore W. Palmer
Publisher: Cambridge University Press
ISBN: 9780521366380
Category : Mathematics
Languages : en
Pages : 846
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Book Description
This second of two volumes gives a modern exposition of the theory of Banach algebras.
Author: Josef Kral
Publisher: Springer
ISBN: 3540382887
Category : Mathematics
Languages : en
Pages : 175
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Book Description
