Common Spectral Properties of Linear Operators A and B Such That ABA=A2 and BAB=B2
Publications de l'Institut Mathématique, _N_S_79 (2006) no. 93, p. 109
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Let $A$ and $B$ be bounded linear operators
on a Banach space such that $ABA=A^2$ and $BAB=B^2$.
Then $A$ and $B$ have some spectral properties in common.
This situation is studied in the present paper.
@article{10_2298_PIM0693109S,
author = {Christoph Schmoeger},
title = {Common {Spectral} {Properties} of {Linear} {Operators} {A} and {B} {Such} {That} {ABA=A\protect\textsuperscript{2}} and {BAB=B\protect\textsuperscript{2}}},
journal = {Publications de l'Institut Math\'ematique},
pages = {109 },
publisher = {mathdoc},
volume = {_N_S_79},
number = {93},
year = {2006},
doi = {10.2298/PIM0693109S},
zbl = {1122.47004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0693109S/}
}
TY - JOUR AU - Christoph Schmoeger TI - Common Spectral Properties of Linear Operators A and B Such That ABA=A2 and BAB=B2 JO - Publications de l'Institut Mathématique PY - 2006 SP - 109 VL - _N_S_79 IS - 93 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM0693109S/ DO - 10.2298/PIM0693109S LA - en ID - 10_2298_PIM0693109S ER -
%0 Journal Article %A Christoph Schmoeger %T Common Spectral Properties of Linear Operators A and B Such That ABA=A2 and BAB=B2 %J Publications de l'Institut Mathématique %D 2006 %P 109 %V _N_S_79 %N 93 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2298/PIM0693109S/ %R 10.2298/PIM0693109S %G en %F 10_2298_PIM0693109S
Christoph Schmoeger. Common Spectral Properties of Linear Operators A and B Such That ABA=A2 and BAB=B2. Publications de l'Institut Mathématique, _N_S_79 (2006) no. 93, p. 109 . doi: 10.2298/PIM0693109S
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