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Multiplication operators

Part of the Lecture Notes in Mathematics book series (LNM,volume 693)

Keywords

  • Multiplication Operator
  • Direct Integral
  • Multiplicity Function
  • Unitary Invariant
  • Finite Borel Measure

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References

  1. M. B. Abrahamse and T. L. Kriete, The spectral multiplicity of a multiplication operator, Indiana U. Math. J. 22 (1973), 845–857.

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  2. W. Arveson, Operator algebras and invariant subspaces, Ann. Math. 100 (1974), 433–532.

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  3. A. S. Besicovitch, A general form of the covering principle and relative differentiation of additive functions II, Proc. Cambridge, Phil. Soc. 42 (1946), 1–10.

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  4. J. Dixmier, Les algebras d'operateurs dans l'espace Hilbertien, Gauthier-Villars, Paris, 1969.

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  5. P. R. Halmos, Measure Theory, Van Nostrand, New York, 1950.

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  6. P. R. Halmos, A Hilbert Space Problem Book, Van Nostrand, Princeton, N.J., 1967.

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  7. T. L. Kriete, Complete non-self-adjointness of almost self-adjoint operators, Pacific J. Math. 42 (1972), 413–437.

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  8. K. R. Parthasarathy, Probability Measures on Metric Spaces, Academic Press, New York and London, 1957.

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  9. W. Rudin, Real and Complex Analysis, McGraw-Hill, New York, 1966.

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© 1978 Springer-Verlag

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Abrahamse, M.B. (1978). Multiplication operators. In: Bachar, J.M., Hadwin, D.W. (eds) Hilbert Space Operators. Lecture Notes in Mathematics, vol 693. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064658

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  • DOI: https://doi.org/10.1007/BFb0064658

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09097-7

  • Online ISBN: 978-3-540-35557-1

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