Multipliers and local spectral theory
Banach Center Publications (1994)
- Volume: 30, Issue: 1, page 223-236
- ISSN: 0137-6934
Access Full Article
topHow to cite
topLaursen, Kjeld. "Multipliers and local spectral theory." Banach Center Publications 30.1 (1994): 223-236. <http://eudml.org/doc/262691>.
@article{Laursen1994,
author = {Laursen, Kjeld},
journal = {Banach Center Publications},
keywords = {local spectral theory of multipliers on a semisimple commutative Banach algebra; multiplication operator; single-valued extension property; local spectrum; decomposable operators on a Banach space; Gelfand transform; spectral subspaces; multipliers with closed range},
language = {eng},
number = {1},
pages = {223-236},
title = {Multipliers and local spectral theory},
url = {http://eudml.org/doc/262691},
volume = {30},
year = {1994},
}
TY - JOUR
AU - Laursen, Kjeld
TI - Multipliers and local spectral theory
JO - Banach Center Publications
PY - 1994
VL - 30
IS - 1
SP - 223
EP - 236
LA - eng
KW - local spectral theory of multipliers on a semisimple commutative Banach algebra; multiplication operator; single-valued extension property; local spectrum; decomposable operators on a Banach space; Gelfand transform; spectral subspaces; multipliers with closed range
UR - http://eudml.org/doc/262691
ER -
References
top- [AL] P. Aiena and K. B. Laursen, Multipliers with closed range on regular commutative Banach algebras, Proc. Amer. Math. Soc., to appear. Zbl0806.47032
- [A1] E. Albrecht, Decomposable systems of operators in harmonic analysis, in: Toeplitz Centennial, Birkhäuser, Basel, 1982, 19-35.
- [A2] E. Albrecht, Spectral decompositions for systems of commuting operators, Proc. Roy. Irish Acad. 81A (1981), 81-98.
- [Ap] C. Apostol, Decomposable multiplication operators, Rev. Roumaine Math. Pures Appl. 17 (1972), 323-333. Zbl0239.47013
- [BD] F. F. Bonsall and J. Duncan, Complete Normed Algebras, Springer, New York, 1973. Zbl0271.46039
- [CF] I. Colojoară and C. Foiaş, Theory of Generalized Spectral Operators, Gordon and Breach, New York, 1968. Zbl0189.44201
- [C] J. B. Conway, A Course in Functional Analysis, Springer, New York, 1985. Zbl0558.46001
- [DT] M. Dutta and U. B. Tewari, On multipliers of Segal algebras, Proc. Amer. Math. Soc. 72 (1978), 121-124. Zbl0426.43005
- [E] J. Eschmeier, Spectral decompositions and decomposable multipliers, Manuscripta Math. 51 (1985), 201-224. Zbl0578.47024
- [ELN] J. Eschmeier, K. B. Laursen and M. M. Neumann, Multipliers with natural local spectra on commutative Banach algebras, submitted. Zbl0897.46038
- [F] K.-H. Förster, Über die Invarianz einiger Räume, die zum Operator T - λA gehören, Arch. Math. (Basel) 17 (1966), 56-64. Zbl0127.07903
- [Fr] Şt. Frunză, A characterization of regular Banach algebras, Rev. Roumaine Math. Pures Appl. 18 (1973), 1057-1059. Zbl0276.46022
- [G] I. Glicksberg, When is μ*L₁ closed?, Trans. Amer. Math. Soc. 160 (1971), 419-425. Zbl0241.43005
- [GK] M. A. Gol'dman and S. N. Kračkovskiĭ, Invariance of certain spaces connected with the operator A - λI, Soviet Math. Dokl. 5 (1964), 102-104.
- [GMcG] C. C. Graham and O. C. McGehee, Essays in Commutative Harmonic Analysis, Springer, New York, 1979. Zbl0439.43001
- [H] H. Helson, Isomorphisms of abelian group algebras, Ark. Mat. 2 (1953), 475-487. Zbl0052.11802
- [HP] B. Host et F. Parreau, Sur un problème de I. Glicksberg: Les idéaux fermés de type fini de M(G), Ann. Inst. Fourier (Grenoble) 28 (3) (1978), 143-164. Zbl0368.43001
- [K] T. Kato, Perturbation theory for nullity, deficiency and other quantities of linear operators, J. Analyse Math. 6 (1958), 261-322. Zbl0090.09003
- [L] R. Larsen, An Introduction to the Theory of Multipliers, Springer, New York, 1971. Zbl0213.13301
- [LN1] K. B. Laursen and M. M. Neumann, Decomposable multipliers and applications to harmonic analysis, Studia Math. 101 (1992), 193-214. Zbl0814.47045
- [LN2] K. B. Laursen and M. M. Neumann, Local spectral theory and spectral inclusions, Glasgow Math. J., to appear. Zbl0851.47002
- [LV1] K. B. Laursen and P. Vrbová, Some remarks on the surjectivity spectrum of linear operators, Czechoslovak Math. J. 39 (1989), 730-739. Zbl0715.47003
- [LV2] K. B. Laursen and P. Vrbová, Intertwiners and automatic continuity, J. London Math. Soc. (2) 43 (1991), 149-155. Zbl0679.47022
- [M] M. Mbekhta, Résolvant généralisé et théorie spectrale, J. Operator Theory 21 (1989), 69-105. Zbl0694.47002
- [MN] V. G. Miller and M. M. Neumann, Local spectral theory for multipliers and convolution operators, in: Proceedings of the Great Plains Operator Symposium at Iowa City, Birkhäuser, Basel, to appear.
- [N] M. M. Neumann, Commutative Banach algebras and decomposable operators, Monatsh. Math. 113 (1992), 227-243. Zbl0765.47010
- [PV] V. Pták and P. Vrbová, Algebraic spectral subspaces, Czechoslovak Math. J. 38 (1988), 173-179.
- [RW] L. T. Ramsey and B. B. Wells, Jr., Some results on the question: When is μ*L¹ closed?, Indiana Univ. Math. J. 26 (1977), 987-996.
- [S] C. Schmoeger, Ein Spektralabbildungssatz, Arch. Math. (Basel) 55 (1990), 484-489.
- [SW] M. Ó Searcóid and T. T. West, Continuity of the generalized kernel and range of semi-Fredholm operators, Math. Proc. Cambridge Philos. Soc. 105 (1989), 513-522. Zbl0686.47018
- [V1] F.-H. Vasilescu, Residually decomposable operators in Banach spaces, Tôhoku Math. J. 21 (1969), 509-522. Zbl0193.10001
- [V2] F.-H. Vasilescu, Analytic Functional Calculus, Reidel, Dordrecht, 1982.
- [W] J. G. Wendel, On isometric isomorphism of group algebras, Pacific J. Math. 1 (1951), 305-311. Zbl0043.03102
- [Z] M. Zafran, On the spectra of multipliers, ibid. 47 (1973), 609-626. Zbl0242.43006
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.