Previous |  Up |  Next

Article

Title: On regularities and Fredholm theory (English)
Author: Lindeboom, L.
Author: Raubenheimer, H.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 52
Issue: 3
Year: 2002
Pages: 565-574
Summary lang: English
.
Category: math
.
Summary: We investigate the relationship between the regularities and the Fredholm theory in a Banach algebra. (English)
Keyword: regularities
Keyword: Fredholm theory
Keyword: inessential ideal
MSC: 46H05
MSC: 46H10
MSC: 47A53
idZBL: Zbl 1010.46045
idMR: MR1923262
.
Date available: 2009-09-24T10:54:16Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127744
.
Reference: [1] B. Aupetit: A Primer on Spectral Theory.Springer-Verlag, , 1991. Zbl 0715.46023, MR 1083349
Reference: [2] B. A. Barnes, G. J.  Murphy, M. R. F. Smyth and T. T.  West: Riesz and Fredholm Theory in Banach Algebras.Pitman, Boston-London-Melbourne, 1982. MR 0668516
Reference: [3] P. G. Dixon: Spectra of left approximate identities in Banach algebras.Bull. London Math. Soc. 19 (1987), 169–173. Zbl 0591.46041, MR 0872133, 10.1112/blms/19.2.169
Reference: [4] J. J. Grobler and H.  Raubenheimer: Spectral properties of elements in different Banach algebras.Glasgow Math.  J. 33 (1991), 11–20. MR 1089949, 10.1017/S0017089500007989
Reference: [5] R. E.  Harte: The exponential spectrum in Banach algebras.Proc. Amer. Math. Soc. 58 (1976), 114–118. Zbl 0338.46043, MR 0407603, 10.1090/S0002-9939-1976-0407603-5
Reference: [6] R. E. Harte: Fredholm theory relative to a Banach algebra homomorphism.Math.  Z. 179 (1982), 431–436. Zbl 0479.47032, MR 0649045, 10.1007/BF01215344
Reference: [7] R. E. Harte: Fredholm, Weyl and Browder theory.Proc. Royal Irish Academy Vol.  85A, 1985, pp. 151–176. Zbl 0567.47001, MR 0845539
Reference: [8] R. E.  Harte: Invertibility and Singularity for Bounded Linear Operators.Marcel Dekker, New York-Basel, 1988. Zbl 0636.47001, MR 0920812
Reference: [9] R. E.  Harte: On rank one elements.Studia Math. 117 (1995), 73–77. Zbl 0837.46036, MR 1367694, 10.4064/sm-117-1-73-77
Reference: [10] R. E. Harte and H.  Raubenheimer: Fredholm, Weyl and Browder theory III.Proc. Royal Irish Academy Vol.  95A, 1995, pp. 11–16. MR 1369040
Reference: [11] R. E.  Harte and A. W. Wickstead: Boundaries, hulls and spectral mapping theorems.Proceedings of the Royal Irish Academy Vol 81A, 1981, pp. 201–208. MR 0654819
Reference: [12] V.  Kordula and V.  Müller: Axiomatic theory of spectrum.Studia Math. 119 (1996), 109–128. MR 1391471
Reference: [13] L.  Lindeboom and H. Raubenheimer: A note on the singular spectrum.Extracta Math. 13 (1998), 349–357. MR 1695568
Reference: [14] A.  Lebow and M.  Schechter: Semigroups of operators and measures of noncompactness.J.  Funct. Anal. 7 (1971), 1–26. MR 0273422, 10.1016/0022-1236(71)90041-3
Reference: [15] M.  Mbekhta and V.  Müller: On axiomatic theory of spectrum II.Studia Math. 119 (1996), 129–147. MR 1391472, 10.4064/sm-119-2-129-147
Reference: [16] H. du T.  Mouton: On inessential ideals in Banach algebras.Quaestiones Mathematicae 17 (1994), 59–66. Zbl 0818.46053, MR 1276008, 10.1080/16073606.1994.9632217
Reference: [17] T.  Mouton and H.  Raubenheimer: More Fredholm theory relative to a Banach algebra homomorphism.Proceedings of the Royal Irish Academy Vol. 93A, 1993, pp. 17–25. MR 1241836
Reference: [18] T.  Mouton and H.  Raubenheimer: On rank one and finite elements in Banach algebras.Studia Math. 104 (1993), 211–219. MR 1220661, 10.4064/sm-104-3-211-219
Reference: [19] J.  Puhl: The trace of finite and nuclear elements in Banach algebras.Czechoslovak Math. J. 28(103) (1978), 656–676. Zbl 0394.46041, MR 0506439
Reference: [20] M. R. F.  Smyth: Riesz theory in Banach algebras.Math.  Z. 145 (1975), 145–155. Zbl 0298.46049, MR 0394210, 10.1007/BF01214779
Reference: [21] A. E.  Taylor and D. C.  Lay: Introduction to Functional Analysis. 2nd ed.John Wiley, New York, 1980. MR 0564653
Reference: [22] W. .Zelazko: Axiomatic approach to joint spectra I.Studia Math. 64 (1979), 249–261. Zbl 0426.47002, MR 0544729, 10.4064/sm-64-3-249-261
.

Files

Files Size Format View
CzechMathJ_52-2002-3_11.pdf 352.2Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo