Results 41 to 50 of about 94 (89)
The C*-algebra of a partial isometry [PDF]
Proceedings of the American Mathematical Society, 2011 The universal C*-algebra generated by a partial isometry is a non-unital residually finite dimensional C*-algebra which is not exact. Many unitarily inequivalent partial isometries generating any given finite dimensional full matrix algebra are constructed. The
Brenken, Berndt, Niu, Zhuang
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A method for constructing idempotents in a unital algebra
Учёные записки Казанского университета: Серия Физико-математические наукиA method is proposed for constructing idempotents in a unital algebra 𝒜 using n arbitrary idempotents P1,...,Pn from this algebra. The properties of the resulting idempotents P = P(P1,...,Pn) are investigated; for n = 2 and n = 3, explicit forms of the ...
M. Khadour
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Trace Formula for Partial Isometry Case
Tokyo Journal of Mathematics, 2009 Let \(L(H)\) be the algebra of all bounded linear operators on a Hilbert space. Let \(T\in L(H)\) and \(T= U(T)\) be the polar decomposition of \(T\). An operator \(T= U(T)\) is said to be semi-hyponormal if \(|T|\geq |T^*|\). In this paper, the authors prove a trace formula for the polar decomposition of a semi-hyponormal operator \(T= U(T)\) with ...
CHŌ, Muneo, HURUYA, Tadasi
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On partial isometries in C*-algebras
Studia Mathematica, 2011 Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Saavedra 15.
Arias, Maria Laura, Mbekhta, Mostafa
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In this paper we obtain a complete characterization of reducing, invariant, and hyperinvariant subspaces for the completely non-unitary component of a power partial isometry. In particular, precise characterization of reducing, invariant, and hyperinvariant subspaces of a truncated shift operator has been achieved.
Babbar, Kritika, Maji, Amit
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Unitaries and Partial Isometries in a Real W ∗ -Algebra [PDF]
Proceedings of the American Mathematical Society, 1976 The group of unitaries in a real W ∗
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Cubo, 2012 This note is a continuation of the work on (p; )-approximate operators studied by Mirzavaziri, Miura and Moslehian. [4]. We investigate approximate partial isometries and approximate generalized inverses.
Philip J Maher, Mohammad Sal Moslehian
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On certain automorphisms of sets of partial isometries
Archiv der Mathematik, 2002 9 pages.
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Octonionic isometric isomorphisms and partial isometries
Forum MathematicumAbstract Very recently, two new notions of para-linear mappings and weak associative orthonormal bases were introduced in octonionic functional analysis, which have been proved to be powerful in formulating the basic theory, such as the Riesz representation theorem and the Parseval theorem.
Qinghai Huo, Guangbin Ren, Zhenghua Xu
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