The splitting spectrum differs from the Taylor spectrum
Studia Mathematica (1997)
- Volume: 123, Issue: 3, page 291-294
- ISSN: 0039-3223
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topMüller, V.. "The splitting spectrum differs from the Taylor spectrum." Studia Mathematica 123.3 (1997): 291-294. <http://eudml.org/doc/216394>.
@article{Müller1997,
abstract = {We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.},
author = {Müller, V.},
journal = {Studia Mathematica},
keywords = {commuting Banach space operators; splitting spectrum; Taylor spectrum},
language = {eng},
number = {3},
pages = {291-294},
title = {The splitting spectrum differs from the Taylor spectrum},
url = {http://eudml.org/doc/216394},
volume = {123},
year = {1997},
}
TY - JOUR
AU - Müller, V.
TI - The splitting spectrum differs from the Taylor spectrum
JO - Studia Mathematica
PY - 1997
VL - 123
IS - 3
SP - 291
EP - 294
AB - We construct a pair of commuting Banach space operators for which the splitting spectrum is different from the Taylor spectrum.
LA - eng
KW - commuting Banach space operators; splitting spectrum; Taylor spectrum
UR - http://eudml.org/doc/216394
ER -
References
top- [1] J. Eschmeier, Analytic spectral mapping theorems for joint spectra, in: Operators in Indefinite Metric Spaces, Scattering Theory and Other Topics (Bucharest, 1985), H. Helson, B. Sz.-Nagy, F. H. Vasilescu and D. Voiculescu (eds.), Oper. Theory Adv. Appl. 24, Birkhäuser, Basel, 1987, 167-181.
- [2] R. Harte, Invertibility, singularity and Joseph L. Taylor, Proc. Roy. Irish Acad. Sect. A 81 (1981), 71-79.
- [3] V. Kordula and V. Müller, Vasilescu-Martinelli formula for operators in Banach spaces, Studia Math. 113 (1995), 127-139. Zbl0819.47019
- [4] M. Putinar, Some invariants for semi-Fredholm systems of essentially commuting operators, J. Operator Theory 8 (1982), 65-90. Zbl0491.47008
- [5] J. L. Taylor, A joint spectrum for several commuting operators, J. Funct. Anal. 6 (1970), 172-191. Zbl0233.47024
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