On totally * -paranormal operators

Eungil Ko; Hae-Won Nam; Young Oh Yang

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 4, page 1265-1280
  • ISSN: 0011-4642

Abstract

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In this paper we study some properties of a totally * -paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally * -paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally * -paranormal operators through the local spectral theory. Finally, we show that every totally * -paranormal operator satisfies an analogue of the single valued extension property for W 2 ( D , H ) and some of totally * -paranormal operators have scalar extensions.

How to cite

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Ko, Eungil, Nam, Hae-Won, and Yang, Young Oh. "On totally $\ast $-paranormal operators." Czechoslovak Mathematical Journal 56.4 (2006): 1265-1280. <http://eudml.org/doc/31104>.

@article{Ko2006,
abstract = {In this paper we study some properties of a totally $\ast $-paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally $\ast $-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally $\ast $-paranormal operators through the local spectral theory. Finally, we show that every totally $\ast $-paranormal operator satisfies an analogue of the single valued extension property for $W^\{2\}(D,H)$ and some of totally $\ast $-paranormal operators have scalar extensions.},
author = {Ko, Eungil, Nam, Hae-Won, Yang, Young Oh},
journal = {Czechoslovak Mathematical Journal},
keywords = {hyponormal; totally $\ast $-paranormal; hypercyclic; operators; hyponormal; totally -paranormal; hypercyclic operators},
language = {eng},
number = {4},
pages = {1265-1280},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On totally $\ast $-paranormal operators},
url = {http://eudml.org/doc/31104},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Ko, Eungil
AU - Nam, Hae-Won
AU - Yang, Young Oh
TI - On totally $\ast $-paranormal operators
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 4
SP - 1265
EP - 1280
AB - In this paper we study some properties of a totally $\ast $-paranormal operator (defined below) on Hilbert space. In particular, we characterize a totally $\ast $-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for totally $\ast $-paranormal operators through the local spectral theory. Finally, we show that every totally $\ast $-paranormal operator satisfies an analogue of the single valued extension property for $W^{2}(D,H)$ and some of totally $\ast $-paranormal operators have scalar extensions.
LA - eng
KW - hyponormal; totally $\ast $-paranormal; hypercyclic; operators; hyponormal; totally -paranormal; hypercyclic operators
UR - http://eudml.org/doc/31104
ER -

References

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