The index for Fredholm elements in a Banach algebra via a trace II
Jacobus J. Grobler; Heinrich Raubenheimer; Andre Swartz
Czechoslovak Mathematical Journal (2016)
- Volume: 66, Issue: 1, page 205-211
- ISSN: 0011-4642
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topGrobler, Jacobus J., Raubenheimer, Heinrich, and Swartz, Andre. "The index for Fredholm elements in a Banach algebra via a trace II." Czechoslovak Mathematical Journal 66.1 (2016): 205-211. <http://eudml.org/doc/276768>.
@article{Grobler2016,
abstract = {We show that the index defined via a trace for Fredholm elements in a Banach algebra has the property that an index zero Fredholm element can be decomposed as the sum of an invertible element and an element in the socle. We identify the set of index zero Fredholm elements as an upper semiregularity with the Jacobson property. The Weyl spectrum is then characterized in terms of the index.},
author = {Grobler, Jacobus J., Raubenheimer, Heinrich, Swartz, Andre},
journal = {Czechoslovak Mathematical Journal},
keywords = {trace; index; Fredholm element},
language = {eng},
number = {1},
pages = {205-211},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The index for Fredholm elements in a Banach algebra via a trace II},
url = {http://eudml.org/doc/276768},
volume = {66},
year = {2016},
}
TY - JOUR
AU - Grobler, Jacobus J.
AU - Raubenheimer, Heinrich
AU - Swartz, Andre
TI - The index for Fredholm elements in a Banach algebra via a trace II
JO - Czechoslovak Mathematical Journal
PY - 2016
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 66
IS - 1
SP - 205
EP - 211
AB - We show that the index defined via a trace for Fredholm elements in a Banach algebra has the property that an index zero Fredholm element can be decomposed as the sum of an invertible element and an element in the socle. We identify the set of index zero Fredholm elements as an upper semiregularity with the Jacobson property. The Weyl spectrum is then characterized in terms of the index.
LA - eng
KW - trace; index; Fredholm element
UR - http://eudml.org/doc/276768
ER -
References
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