| Title:
|
On Kelley's multiplicity function of an abelian von Neumann algebra (English) |
| Author:
|
Panchapagesan, Thiruvaiyaru V. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
51 |
| Issue:
|
5 |
| Year:
|
2001 |
| Pages:
|
565-582 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46L05 |
| MSC:
|
47B15 |
| idZBL:
|
Zbl 1004.47010 |
| idMR:
|
MR1899277 |
| . |
| Date available:
|
2009-09-25T14:04:54Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130274 |
| . |
| Reference:
|
[1] DIXMIER J.: Les Algébres ďopérateurs dans ľespace Hilbertien.Gauthier-Villars, Paris, 1969. |
| Reference:
|
[2] DUNFORD N.-SCHWARTZ J. T.: Linear Operators. Part I: General Theory.Interscience, New York, 1958. MR 1009162 |
| Reference:
|
[3] HALMOS P. R.: Introduction to Hilbert Space and the Theory of Spectral Multiplicity.Chelsea, New York, 1951. Zbl 0045.05702, MR 1653399 |
| Reference:
|
[4] HILLE E.-PHILLIPS R. S.: Functional Analysis and Semigroups.Amer. Math. Soc. Colloq. Publ. 31, Providence, RI, 1957. Zbl 0078.10004, MR 0089373 |
| Reference:
|
[5] KELLEY J. L.: Commutative operator algebras.Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 598-605. Zbl 0049.20702, MR 0051440 |
| Reference:
|
[6] PANCHAPAGESAN T. V.: Multiplicity theory of projections in abelian von Neumann algebras.Rev. Colombiana Mat. 22 (1988), 37-48. Zbl 0687.46039, MR 1023821 |
| Reference:
|
[7] PANCHAPAGESAN T. V.: Unitary invariants of spectral measures with the $CGS$-property.Rend. Circ. Mat. Palermo (2) 42 (1993), 219-248. Zbl 0793.47019, MR 1244538 |
| Reference:
|
[8] PANCHAPAGESAN T. V.: Orthogonal and bounded orthogonal spectral representations.Rend. Circ. Mat. Palermo (2) 44 (1995), 417-440. Zbl 0858.47014, MR 1388755 |
| Reference:
|
[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 1710835 |
| Reference:
|
[10] PANCHAPAGESAN T. V.: A classification of spectral measures with the $CGS$-property.Atti. Sem. Mat. Fis. Univ. Modena 46 (1999), 67-91. Zbl 0951.28006, MR 1727412 |
| Reference:
|
[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 1451877 |
| . |
