The -function in -algebras.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “Convex combinations of unitaries in -algebras.”
The -function in -algebras.
On unitary convex decompositions of vectors in a -algebra
Akhlaq A. Siddiqui (2013)
Archivum Mathematicum
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By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital -algebra permits the vector decomposable as convex combination of fewer unitaries; certain -algebra results due to M. Rørdam have been extended to the general setting of -algebras.
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.
Simple finite Jordan pseudoalgebras.
Kolesnikov, Pavel (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Some properties of octonion and quaternion algebras.
Flaut, Cristina (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Two-dimensional real division algebras revisited.
Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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On the range of a Jordan *-derivation
Péter Battyányi (1996)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we examine some questions concerned with certain ``skew'' properties of the range of a Jordan *-derivation. In the first part we deal with the question, for example, when the range of a Jordan *-derivation is a complex subspace. The second part of this note treats a problem in relation to the range of a generalized Jordan *-derivation.
Linear maps preserving the generalized spectrum.
Mostafa Mbekhta (2007)
Extracta Mathematicae
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Let H be an infinite-dimensional separable complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For an operator T in B(H), let σ(T) denote the generalized spectrum of T. In this paper, we prove that if φ: B(H) → B(H) is a surjective linear map, then φ preserves the generalized spectrum (i.e. σ(φ(T)) = σ(T) for every T ∈ B(H)) if and only if there is A ∈ B(H) invertible such that either φ(T) = ATA for every T ∈ B(H), or φ(T) = ATA for every T ∈ B(H). Also,...