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

R. Berntzen; A. Sołtysiak

Displaying similar documents to “On strong generation of B(ℋ) by two commutative C*-algebras”

$B (X)$ is generated in strong operator topology by two of its elements

Vladimír Müller, Wiesław Żelazko (1989)

Czechoslovak Mathematical Journal

Similarity:

Factorization of operators on C*-algebras

Narcisse Randrianantoanina (1998)

Studia Mathematica

Similarity:

Let A be a C*-algebra. We prove that every absolutely summing operator from A into $ℓ_{2}$ factors through a Hilbert space operator that belongs to the 4-Schatten-von Neumann class. We also provide finite-dimensional examples that show that one cannot replace the 4-Schatten-von Neumann class by the p-Schatten-von Neumann class for any p < 4. As an application, we show that there exists a modulus of capacity ε → N(ε) so that if A is a C*-algebra and $T \in Π_{1} (A, ℓ_{2})$ with $π_{1} (T) \leq 1$ , then for every ε >0, the...

Algebraic generation of B(X) by two subalgebras with square zero

W. Żelazko (1988)

Studia Mathematica

Similarity:

Supercyclicity in the operator algebra

Alfonso Montes-Rodríguez, M. Carmen Romero-Moreno (2002)

Studia Mathematica

Similarity:

We prove a Supercyclicity Criterion for a continuous linear mapping that is defined on the operator algebra of a separable Banach space ℬ. Our result extends a recent result on hypercyclicity on the operator algebra of a Hilbert space. This kind of result is a powerful tool to analyze the structure of supercyclic vectors of a supercyclic operator that is defined on ℬ. For instance, as a consequence of the main result, we give a very simple proof of the recently established fact that...