Displaying similar documents to “Operators preserving ideals in C*-algebras”

On local derivations in the Kadison sense

Andrzej Nowicki (2001)

Colloquium Mathematicae

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Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.

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...

Aspects of the theory of derivations

Gerard Murphy (1994)

Banach Center Publications

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We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.

Automatic continuity of generalized intertwining operators

K. B. Laursen

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CONTENTSIntroduction................................................. 51. Basic concepts and terminology................ 92. Generalized intertwining maps................... 123. Commutative regular algebras................... 184. C*-algebras.................................................... 255. Algebras of differentiable functions............ 31Bibliography........................................................ 51