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MR ZblPanchapagesan, Thiruvaiyaru V. On Kelley's multiplicity function of an abelian von Neumann algebra. Mathematica slovaca, Tome 51 (2001) no. 5, pp. 565-582. http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a6/
@article{MASLO_2001_51_5_a6,
author = {Panchapagesan, Thiruvaiyaru V.},
title = {On {Kelley's} multiplicity function of an abelian von {Neumann} algebra},
journal = {Mathematica slovaca},
pages = {565--582},
year = {2001},
volume = {51},
number = {5},
mrnumber = {1899277},
zbl = {1004.47010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a6/}
}
[1] DIXMIER J.: Les Algébres ďopérateurs dans ľespace Hilbertien. Gauthier-Villars, Paris, 1969.
[2] DUNFORD N.-SCHWARTZ J. T.: Linear Operators. Part I: General Theory. Interscience, New York, 1958. | MR
[3] HALMOS P. R.: Introduction to Hilbert Space and the Theory of Spectral Multiplicity. Chelsea, New York, 1951. | MR | Zbl
[4] HILLE E.-PHILLIPS R. S.: Functional Analysis and Semigroups. Amer. Math. Soc. Colloq. Publ. 31, Providence, RI, 1957. | MR | Zbl
[5] KELLEY J. L.: Commutative operator algebras. Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 598-605. | MR | Zbl
[6] PANCHAPAGESAN T. V.: Multiplicity theory of projections in abelian von Neumann algebras. Rev. Colombiana Mat. 22 (1988), 37-48. | MR | Zbl
[7] PANCHAPAGESAN T. V.: Unitary invariants of spectral measures with the $CGS$-property. Rend. Circ. Mat. Palermo (2) 42 (1993), 219-248. | MR | Zbl
[8] PANCHAPAGESAN T. V.: Orthogonal and bounded orthogonal spectral representations. Rend. Circ. Mat. Palermo (2) 44 (1995), 417-440. | MR | Zbl
[9] PANCHAPAGESAN T. V.: Spatial isomorphism of abelian von Neumann algebras and the spectral multiplicity theory of Halmos. In: International Workshop on Operator Theory, Cefalacuteu (Palermo), July 14-19, 1997. Suppl. Rend. Circ. Mat. Palermo (2) 56 (1998),179-189. | MR
[10] PANCHAPAGESAN T. V.: A classification of spectral measures with the $CGS$-property. Atti. Sem. Mat. Fis. Univ. Modena 46 (1999), 67-91. | MR | Zbl
[11] STONE M. H.: Linear Transformations in Hilbert Spaces and Their Applications to Analysis. Amer. Math. Soc. Colloq. Publ. 15, Amer. Math. Soc, Providence RI, 1932. | MR