Keywords
- Multiplication Operator
- Direct Integral
- Multiplicity Function
- Unitary Invariant
- Finite Borel Measure
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References
M. B. Abrahamse and T. L. Kriete, The spectral multiplicity of a multiplication operator, Indiana U. Math. J. 22 (1973), 845–857.
W. Arveson, Operator algebras and invariant subspaces, Ann. Math. 100 (1974), 433–532.
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.
J. Dixmier, Les algebras d'operateurs dans l'espace Hilbertien, Gauthier-Villars, Paris, 1969.
P. R. Halmos, Measure Theory, Van Nostrand, New York, 1950.
P. R. Halmos, A Hilbert Space Problem Book, Van Nostrand, Princeton, N.J., 1967.
T. L. Kriete, Complete non-self-adjointness of almost self-adjoint operators, Pacific J. Math. 42 (1972), 413–437.
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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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