
A characterization of scalar type operators on reflexive Banach spaces.
Earl Berkson
Source: Pacific J. Math. Volume 13, Number 2
(1963), 365-373.
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47.30
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.pjm/1103035732
Zentralblatt MATH identifier: 0198.17103
Mathematical Reviews number (MathSciNet): MR0155192
References
[1] N., Dunford, Spectral operators, Pacific J. Math., 4 (1954), 321-354.
Mathematical Reviews (MathSciNet): MR16:142d
[2] S. R. Foguel, The relations between a spectral operator and its scalar part, Pacific J. Math., 8 (1958), 51-65.
Mathematical Reviews (MathSciNet): MR20:3457
Zentralblatt MATH: 0080.32802
[3] L. H. Loomis, An introduction to abstract harmonic analysis, New York, Van Nost- rand, 1953.
Mathematical Reviews (MathSciNet): MR14:883c
Zentralblatt MATH: 0052.11701
[4] G. Lumer, Semi-inner-productspaces, Trans. Amer. Math. Soc, 100 (1961), 29-43.
Mathematical Reviews (MathSciNet): MR24:A2860
Zentralblatt MATH: 0102.32701
[5] G. Lumer and R. S. Phillips, Dissipative operators in a Banach space, Pacific J. Math., 11 (1961), 679-698.
Mathematical Reviews (MathSciNet): MR24:A2248
Zentralblatt MATH: 0101.09503
[6] C. E. Rickart, General theory of Banach algebras, New York, Van Nostrand, 1960.
Mathematical Reviews (MathSciNet): MR22:5903
Zentralblatt MATH: 0095.09702
[7] I. Vidav, Eine metrische Kennzeichnung der selbstadjungiertenOperatoren, Math. Zeitschr., 66 (1956), 121-128.
Mathematical Reviews (MathSciNet): MR18:912a
Zentralblatt MATH: 0071.11503
Pacific Journal of Mathematics
