On quasinilpotent equivalence of finite rank elements in Banach algebras

Heinrich Raubenheimer

Czechoslovak Mathematical Journal (2010)

  • Volume: 60, Issue: 3, page 589-596
  • ISSN: 0011-4642

Abstract

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We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent to maximal finite rank elements.

How to cite

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Raubenheimer, Heinrich. "On quasinilpotent equivalence of finite rank elements in Banach algebras." Czechoslovak Mathematical Journal 60.3 (2010): 589-596. <http://eudml.org/doc/38029>.

@article{Raubenheimer2010,
abstract = {We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent to maximal finite rank elements.},
author = {Raubenheimer, Heinrich},
journal = {Czechoslovak Mathematical Journal},
keywords = {maximal finite rank elements; quasinilpotent equivalence; maximal finite rank element; quasinilpotent equivalence},
language = {eng},
number = {3},
pages = {589-596},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On quasinilpotent equivalence of finite rank elements in Banach algebras},
url = {http://eudml.org/doc/38029},
volume = {60},
year = {2010},
}

TY - JOUR
AU - Raubenheimer, Heinrich
TI - On quasinilpotent equivalence of finite rank elements in Banach algebras
JO - Czechoslovak Mathematical Journal
PY - 2010
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 60
IS - 3
SP - 589
EP - 596
AB - We characterize elements in a semisimple Banach algebra which are quasinilpotent equivalent to maximal finite rank elements.
LA - eng
KW - maximal finite rank elements; quasinilpotent equivalence; maximal finite rank element; quasinilpotent equivalence
UR - http://eudml.org/doc/38029
ER -

References

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  9. Mouton, S., Raubenheimer, H., 10.1023/A:1009717500980, Positivity 1 (1997), 305-317. (1997) Zbl0904.46036MR1660397DOI10.1023/A:1009717500980
  10. Müller, V., Spectral Theory of Linear Operators and Spectral Systems in Banach Algebras, Birkhäuser Basel-Boston-Berlin (2003). (2003) MR1975356
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  12. Razpet, M., 10.1016/0022-247X(92)90304-V, J. Math. Anal. Appl. 166 (1992), 378-385. (1992) Zbl0802.46064MR1160933DOI10.1016/0022-247X(92)90304-V

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