Displaying similar documents to “On a symbol of operators generating finite-dimensional algebras”

Compactness conditions for elementary operators

Matej Brešar, Yuri V. Turovskii (2007)

Studia Mathematica

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Various topics concerning compact elementary operators on Banach algebras are studied: their ranges, their coefficients, and the structure of algebras having nontrivial compact elementary operators. In the first part of the paper we consider separately elementary operators of certain simple types. In the second part we obtain our main results which deal with general elementary operators.

Algebras of quotients with bounded evaluation of a normed semiprime algebra

M. Cabrera, Amir A. Mohammed (2003)

Studia Mathematica

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We deal with the algebras consisting of the quotients that produce bounded evaluation on suitable ideals of the multiplication algebra of a normed semiprime algebra A. These algebras of quotients, which contain A, are subalgebras of the bounded algebras of quotients of A, and they have an algebra seminorm for which the relevant inclusions are continuous. We compute these algebras of quotients for some norm ideals on a Hilbert space H: 1) the algebras of quotients with bounded evaluation...

On hyper BCC-algebras.

Borzooei, R.A., Dudek, W.A., Koohestani, N. (2006)

International Journal of Mathematics and Mathematical Sciences

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On BF-algebras

Andrzej Walendziak (2007)

Mathematica Slovaca

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On Q -algebras.

Neggers, Joseph, Ahn, Sun Shin, Kim, Hee Sik (2001)

International Journal of Mathematics and Mathematical Sciences

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Operators preserving ideals in C*-algebras

V. Shul'Man (1994)

Studia Mathematica

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The aim of this paper is to prove that derivations of a C*-algebra A can be characterized in the space of all linear continuous operators T : A → A by the conditions T(1) = 0, T(L∩R) ⊂ L + R for any closed left ideal L and right ideal R. As a corollary we get an extension of the result of Kadison [5] on local derivations in W*-algebras. Stronger results of this kind are proved under some additional conditions on the cohomologies of A.