On ∗-n-paranormal operators on Banach spaces
Abstract
Let T be a ∗-n-paranormal operator on a complex Banach space X . In this paper we show that T is isoloid and if α,β are distinct eigen-values of T, then ker(T −αI)⊥ker(T −βI). Also we show that if the dual space X∗is uniformly convex and (T −αI)xk→ 0 for (xk, fk) ∈ Π(X ), then (T −αI)∗fk→ 0.
Copyright © 2014 Muneo Cho, Kotaro Tanahashi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Cho, K. Tanahashi, On ∗-n-paranormal operators on Banach spaces, J. Math. Comput. Sci. 4 (2014), 1–9.
BibTeX
@article{Cho2014,
author = {Cho, Muneo and Tanahashi, Kotaro},
title = {On ∗-n-paranormal operators on Banach spaces},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {1--9},
doi = {}
}