Pacific Journal of Mathematics

Operators commuting with Boolean algebras of projections of finite multiplicity.

L. Tzafriri

Article information

Source
Pacific J. Math., Volume 20, Number 3 (1967), 571-587.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102992703

Mathematical Reviews number (MathSciNet)
MR0208387

Zentralblatt MATH identifier
0147.12004

Subjects
Primary: 47.30

Citation

Tzafriri, L. Operators commuting with Boolean algebras of projections of finite multiplicity. Pacific J. Math. 20 (1967), no. 3, 571--587. https://projecteuclid.org/euclid.pjm/1102992703


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References

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  • [2] W. G. Bade, On Boolean algebras of projections and algebras of operators, Trans. Amer. Math. Soc. 80 (1955), 345-359.
  • [3] W. G. Bade, A multiplicity theory for Boolean algebras of projections on Banach spaces, Trans. Amer. Math. Soc. 92 (1959), 508-530.
  • [4] N. Dunford, Spectral operators, Pacific J. Math. 4 (1954), 321-354.
  • [5] N. Dunford and J. Schwartz, Lineara operators, I, Interscience Publishers, New- York 1958.
  • [6] N. Dunford and J. Schwartz, Linear operators, III, (to appear).
  • [7] S. R. Foguel, Sums and products of commuting spectral operators, Arkiv for Mat. 3 (1957), 449-461.
  • [8] S. R. Foguel, The relations between a spectral operator and its scalar part, Pacific J. Math. 8 (1958), 51-65.
  • [9] S. R. Foguel, A perturbation theorem for scalar operators, Comm. Pure Appl. Math. 11 (1958), 293-296.
  • [10] S. R. Foguel, Normal operators of finite multiplicity,Comm. Pure Appl. Math. 11 (1958), 297-313.
  • [11] S. R. Foguel, Boolean algebras of projections of finite multiplicity, Pacific J. Math. 9 (1959), 681-693.
  • [12] C. A. McCarthy, Commuting Boolean algebras of projections, Pacific J. Math. 11 (1961), 295-307.
  • [13] A. M. Ostrowski, Solution of equations and systems of equations, Academic Press, New York, 1960.