Sum and product of commuting spectral operators.
Kirti K. Oberai
Source: Pacific J. Math. Volume 25, Number 1
(1968), 129-146.
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47.30
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102986395
Zentralblatt MATH identifier: 0159.19701
Mathematical Reviews number (MathSciNet): MR0230152
References
[1] J. Dieudonne, Sur les espaces de Kthe, J. d'Analyse Math. 1 (1951), 81-115.
Mathematical Reviews (MathSciNet): MR12:834b
[2] N. Dunford, Spectral operators, Pacific J. Math. 4 (1954), 321-354.
Mathematical Reviews (MathSciNet): MR16:142d
[3] N. Dunford and J. T. Schwartz, Linear Operators, Part I, Interscience, New York, 1958.
Mathematical Reviews (MathSciNet): MR22:8302
Zentralblatt MATH: 0084.10402
[4] C. Ionescu Tulcea, Spectral operators on locally convex spaces, Bull. Amer. Math. Soc. 67 (1961), 125-128.
Mathematical Reviews (MathSciNet): MR23:A521
Zentralblatt MATH: 0096.08403
[5] F. Maeda, Spectral theory on locally convex spaces, Dissertation, Yale University, 1961.
[6] F. Maeda, Functions of generalized scalar operators, J. Sci. Hiroshima University 26 (1962), 71-76.
Mathematical Reviews (MathSciNet): MR31:3873
Zentralblatt MATH: 0137.32101
[7] C. McCarthy, Commuting Boolean algebras of projections II, Proc. Amer. Math. Soc. 15 (1964), 781-787.
Mathematical Reviews (MathSciNet): MR30:4154
Zentralblatt MATH: 0127.33003
[8] D. McGarvey, Operators commuting with translation by 1, J. Math. Analysis Appli- cations 4 (1962), 366-410.
Mathematical Reviews (MathSciNet): MR27:594
Zentralblatt MATH: 0115.33203
[9] N. W. Pedersen, The resolution of the identity for sums and products of commuting spectral operators, Math. Scand. 11 (1962), 123-130.
Mathematical Reviews (MathSciNet): MR28:479
Zentralblatt MATH: 0173.43002
[10] L. Waelbroeck, Locally convex algebras, spectral theory, Seminar on complex analysis at Institute of Advanced Study, 1958.
Zentralblatt MATH: 1010.46046
Pacific Journal of Mathematics
