Open AccessSupercyclicity of multiplication on Banach ideal of operators
Author(s) -
Mohamed Amouch,
Hamza Lakrimi
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.52067
Subject(s) - mathematics , multiplication (music) , ideal (ethics) , banach space , separable space , tensor product , bounded function , pure mathematics , linear operators , approximation property , discrete mathematics , bounded operator , algebra over a field , combinatorics , mathematical analysis , philosophy , epistemology
Let X be a complex Banach space with dim X > 1 such that its topological dual X∗ is separable and B(X) the algebra of all bounded linear operators on X. In this paper, we study the passage of property of being supercyclic from T ∈ B(X) to the left and the right multiplication induced by T on an admissible Banach ideal of B(X). Also, we give a sufficient conditions for the tensor product T ⊗bR of two operators on B(X) to be supercyclic.