Convex combinations of unitaries in -algebras.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “On unitary convex decompositions of vectors in a -algebra”
Convex combinations of unitaries in -algebras.
The -function in -algebras.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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A proof of the Russo-Dye theorem for -algebras.
Siddiqui, Akhlaq A. (2010)
The New York Journal of Mathematics [electronic only]
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Representations of Jordan algebras and special functions
Giancarlo Travaglini (1991)
Colloquium Mathematicae
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This paper is concerned with the action of a special formally real Jordan algebra U on an Euclidean space E, with the decomposition of E under this action and with an application of this decomposition to the study of Bessel functions on the self-adjoint homogeneous cone associated to U.
Extreme points of the closed unit ball in C*-algebras
Rainer Berntzen (1997)
Colloquium Mathematicae
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In this short note we give a short and elementary proof of a characterization of those extreme points of the closed unit ball in C*-algebras which are unitary. The result was originally proved by G. K. Pedersen using some methods from the theory of approximation by invertible elements.
Representation theorem for convex effect algebras
Stanley P. Gudder, Sylvia Pulmannová (1998)
Commentationes Mathematicae Universitatis Carolinae
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Effect algebras have important applications in the foundations of quantum mechanics and in fuzzy probability theory. An effect algebra that possesses a convex structure is called a convex effect algebra. Our main result shows that any convex effect algebra admits a representation as a generating initial interval of an ordered linear space. This result is analogous to a classical representation theorem for convex structures due to M.H. Stone.
Totally convex algebras
Dieter Pumplün, Helmut Röhrl (1992)
Commentationes Mathematicae Universitatis Carolinae
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By definition a totally convex algebra is a totally convex space equipped with an associative multiplication, i.eȧ morphism of totally convex spaces. In this paper we introduce, for such algebras, the notions of ideal, tensor product, unitization, inverses, weak inverses, quasi-inverses, weak quasi-inverses and the spectrum of an element and investigate them in detail. This leads to a considerable generalization of the corresponding notions and results in the theory of Banach spaces. ...