Compact multiplication operators on semicrossed products

Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

Composition Operators and Multiplication Operators on Orlicz Spaces

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Semicrossed Products of the Disk Algebra

If α is the endomorphism of the disk algebra, A(D), induced by composition with a finite Blaschke product b, then the semicrossed product A(D) ×α Z imbeds canonically, completely isometrically into C(T)×αZ. Hence in the case of a non-constant Blaschke product b, the C*-envelope has the form C(Sb) ×s Z, where (Sb, s) is the solenoid system for (T, b). In the case where b is a constant, then the ...

Multiplication operators on Banach modules over spectrally separable algebras

‎Let $mathcal{A}$ be a commutative Banach algebra and $mathscr{X}$ be a left Banach $mathcal{A}$-module‎. ‎We study the set‎ ‎${rm Dec}_{mathcal{A}}(mathscr{X})$ of all elements in $mathcal{A}$ which induce a decomposable multiplication operator on $mathscr{X}$‎. ‎In the case $mathscr{X}=mathcal{A}$‎, ‎${rm Dec}_{mathcal{A}}(mathcal{A})$ is the well-known Apostol algebra of $mathcal{A}$‎. ‎We s...

Semicrossed Products of Simple C*-algebras

Let (A, α) and (B, β) be C*-dynamical systems and assume that A is a separable simple C*-algebra and that α and β are ∗-automorphisms. Then the semicrossed products A×αZ and B ×β Z are isometrically isomorphic if and only if the dynamical systems (A, α) and (B, β) are outer conjugate.