TY - JOUR
ID - 247235
TI - Hypercyclicity of adjoint of convex weighted shift and multiplication operators on Hilbert spaces
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Karimi, Lotfollah
AD - Department of Basic Science, Hamedan University of Technology, Hamedan, Iran.
Y1 - 2021
PY - 2021
VL - 2
IS - 4
SP - 52
EP - 59
KW - Convex operators
KW - Hypercyclicity
KW - Supercyclicity
KW - Spectrum
DO - 10.30511/mcs.2021.539285.1039
N2 - A bounded linear operator $T$ on a Hilbert space $\mathfrak{H}$ is convex, if $$\|\mathfrak{T}^{2}v\|^2-2\|\mathfrak{T}v\|^2+\|v\|^2 \geq 0.$$ In this paper, sufficient conditions to hypercyclicity of adjoint of unilateral (bilateral) forward (backward) weighted shift operator is given. Also, we present some examples of convex operators such that it's adjoint is hypercyclic. Finally, the spectrum of convex multiplication operators is obtained and an example of convex, multiplication operators is given such that it's adjoint is hypercyclic.
UR - https://mcs.qut.ac.ir/article_247235.html
L1 - https://mcs.qut.ac.ir/article_247235_f3a2809ba19f34d48dbc5b1421532f4f.pdf
ER -