On (A,m)-expansive operators

Sungeun Jung, et al. "On (A,m)-expansive operators." Studia Mathematica 213.1 (2012): 3-23. <http://eudml.org/doc/285653>.

@article{SungeunJung2012,
abstract = {We give several conditions for (A,m)-expansive operators to have the single-valued extension property. We also provide some spectral properties of such operators. Moreover, we prove that the A-covariance of any (A,2)-expansive operator T ∈ ℒ(ℋ ) is positive, showing that there exists a reducing subspace ℳ on which T is (A,2)-isometric. In addition, we verify that Weyl's theorem holds for an operator T ∈ ℒ(ℋ ) provided that T is (T*T,2)-expansive. We next study (A,m)-isometric operators as a special case of (A,m)-expansive operators. Finally, we prove that every operator T ∈ ℒ(ℋ ) which is (T*T,2)-isometric has a scalar extension.},
author = {Sungeun Jung, Yoenha Kim, Eungil Ko, Ji Eun Lee},
journal = {Studia Mathematica},
keywords = {-expansive operators; -isometric operators; single-valued extension property (SVEP); subscalar operator},
language = {eng},
number = {1},
pages = {3-23},
title = {On (A,m)-expansive operators},
url = {http://eudml.org/doc/285653},
volume = {213},
year = {2012},
}

TY - JOUR
AU - Sungeun Jung
AU - Yoenha Kim
AU - Eungil Ko
AU - Ji Eun Lee
TI - On (A,m)-expansive operators
JO - Studia Mathematica
PY - 2012
VL - 213
IS - 1
SP - 3
EP - 23
AB - We give several conditions for (A,m)-expansive operators to have the single-valued extension property. We also provide some spectral properties of such operators. Moreover, we prove that the A-covariance of any (A,2)-expansive operator T ∈ ℒ(ℋ ) is positive, showing that there exists a reducing subspace ℳ on which T is (A,2)-isometric. In addition, we verify that Weyl's theorem holds for an operator T ∈ ℒ(ℋ ) provided that T is (T*T,2)-expansive. We next study (A,m)-isometric operators as a special case of (A,m)-expansive operators. Finally, we prove that every operator T ∈ ℒ(ℋ ) which is (T*T,2)-isometric has a scalar extension.
LA - eng
KW - -expansive operators; -isometric operators; single-valued extension property (SVEP); subscalar operator
UR - http://eudml.org/doc/285653
ER -