Codiskcyclic sets of operators on complex topological vector spaces
Mohamed Amouch, Otmane Benchiheb
Abstract
Let X be a complex topological vector space and L(X) the set of all continuous linear operators on X. In this paper, we extend the notion of the codiskcyclicity of a single operator T ∈ L(X) to a set of operators Γ ⊂ L(X). We prove some results for codiskcyclic sets of operators and we establish a codiskcyclicity criterion. As an application, we study the codiskcyclicity of C0-semigroups of operators.
Topics & Concepts
Topological vector spaceMathematicsTopological spaceSet (abstract data type)Operator theoryLinear operatorsOperator (biology)Vector spaceConnected spacePure mathematicsSpace (punctuation)Topology (electrical circuits)Discrete mathematicsComputer scienceCombinatoricsMathematical analysisGeneOperating systemBounded functionChemistryProgramming languageTranscription factorRepressorBiochemistryHolomorphic and Operator TheoryAdvanced Topics in AlgebraAdvanced Banach Space Theory