This is a preview of subscription content, log in via an institution to check access.
References
E. Albrecht, Funktionalkalküle in mehreren Veränderlichen für stetige lineare Operatoren auf Banachräumen. Manuscripta mathematica14, 1–40 (1974).
E. Albrecht, An example of aC ∞(ℂ)-decomposable operator which is notC ∞(ℂ)-spectral. Rev. Roum. Math. Pures et Appl.19, 131–139 (1974).
E. Albrecht andSt. Frunza, Non-analytic functional calculi in several variables. Manuscripta mathematica18, 327–336 (1976).
C. Apostol, Spectral decompositions and functional calculus. Rev. Roum. Math. Pures et Appl.13, 1481–1528 (1968).
W. Bade andP. Curtis, Homomorphisms of commutative Banach algebras. Amer. J. Math.82, 589–608 (1960).
E. Berkson andH. R. Dowson, Prespectral operators. Illinois J. Math.13, 291–315 (1969).
E. Berkson, H. R. Dowson andG. A. Elliott, On Fuglede's theorem and scalar-type operators. Bull. London Math. Soc.4, 13–16 (1972).
F. F.Bonsall and J.Duncan, Complete normed algebras. Berlin-Heidelberg-New York 1973.
F. F.Bonsall and J.Duncan, Numerical ranges of operators on normed spaces and of elements of normed algebras. Cambridge 1971.
F. F.Bonsall and J.Duncan, Numerical ranges II. Cambridge 1973.
I.Colojoara and C.Foiacs, Theory of generalized spectral operators. New York-London-Paris 1968.
M. J. Crabb andP. G. Spain, Commutators and normal operators. Glasgow Math. J.18, 197–198 (1977).
H. R. Dowson, A commutativity theorem for prespectral operators. Illinois J. Math.17, 525–532 (1973).
H. R. Dowson, T. A. Gillespie andP. G. Spain, A commutativity theorem for hermitian operators. Math. Ann.220, 215–217 (1976).
N.Dunford and J. T.Schwartz, Linear operators, Part III: Spectral operators. New York-London-Sidney-Toronto 1971.
U. Fixman, Problems in spectral operators. Pacific J. Math.9, 1029–1051 (1959).
C. Foiaş, Spectral capacities and decomposable operators. Rev. Roum. Math. Pures et Appl.13, 1539–1545 (1968).
S. Kantorovitz, Classification of operators by means of their operational calculus. Trans. Amer. Math. Soc.115, 194–224 (1965).
H. König, A functional calculus for hermitian elements of complex Banach algebras. Arch. Math.28, 422–430 (1977).
G. Lumer, Spectral operators, hermitian operators, and bounded groups. Acta Sci. Math.25, 75–85 (1964).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Albrecht, E. On some classes of generalized spectral operators. Arch. Math 30, 297–303 (1978). https://doi.org/10.1007/BF01226059
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01226059