Page 1

Displaying 1 – 13 of 13

Showing per page

On reflexive subobject lattices and reflexive endomorphism algebras

Dong Sheng Zhao (2003)

Commentationes Mathematicae Universitatis Carolinae

In this paper we study the reflexive subobject lattices and reflexive endomorphism algebras in a concrete category. For the category Set of sets and mappings, a complete characterization for both reflexive subobject lattices and reflexive endomorphism algebras is obtained. Some partial results are also proved for the category of abelian groups.

On strong generation of B(ℋ) by two commutative C*-algebras

R. Berntzen, A. Sołtysiak (1997)

Studia Mathematica

The algebra B(ℋ) of all bounded operators on a Hilbert space ℋ is generated in the strong operator topology by a single one-dimensional projection and a family of commuting unitary operators with cardinality not exceeding dim ℋ. This answers Problem 8 posed by W. Żelazko in [6].

Operators preserving ideals in C*-algebras

V. Shul'Man (1994)

Studia Mathematica

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.

Currently displaying 1 – 13 of 13

Page 1