Geodesic
On Kelley's multiplicity function of an abelian von Neumann algebra
Mathematica slovaca, Tome 51 (2001) no. 5, pp. 565-582
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 46L05, 47B15 
@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/}
}
TY  - JOUR
AU  - Panchapagesan, Thiruvaiyaru V.
TI  - On Kelley's multiplicity function of an abelian von Neumann algebra
JO  - Mathematica slovaca
PY  - 2001
SP  - 565
EP  - 582
VL  - 51
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a6/
LA  - en
ID  - MASLO_2001_51_5_a6
ER  - 
%0 Journal Article
%A Panchapagesan, Thiruvaiyaru V.
%T On Kelley's multiplicity function of an abelian von Neumann algebra
%J Mathematica slovaca
%D 2001
%P 565-582
%V 51
%N 5
%U http://geodesic.mathdoc.fr/item/MASLO_2001_51_5_a6/
%G en
%F MASLO_2001_51_5_a6
Panchapagesan, 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/

[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