On Kelley's multiplicity function of an abelian von Neumann algebra

Thiruvaiyaru V. Panchapagesan

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 5, page 565-582
  • ISSN: 0139-9918

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Panchapagesan, Thiruvaiyaru V.. "On Kelley's multiplicity function of an abelian von Neumann algebra." Mathematica Slovaca 51.5 (2001): 565-582. <http://eudml.org/doc/31954>.

@article{Panchapagesan2001,
author = {Panchapagesan, Thiruvaiyaru V.},
journal = {Mathematica Slovaca},
keywords = {Abelian von Neumann algebras; spectral measures; multiplicity functions; multiplicity theory},
language = {eng},
number = {5},
pages = {565-582},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On Kelley's multiplicity function of an abelian von Neumann algebra},
url = {http://eudml.org/doc/31954},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Panchapagesan, Thiruvaiyaru V.
TI - On Kelley's multiplicity function of an abelian von Neumann algebra
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 5
SP - 565
EP - 582
LA - eng
KW - Abelian von Neumann algebras; spectral measures; multiplicity functions; multiplicity theory
UR - http://eudml.org/doc/31954
ER -

References

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  1. DIXMIER J., Les Algébres ďopérateurs dans ľespace Hilbertien, Gauthier-Villars, Paris, 1969. (1969) 
  2. DUNFORD N.-SCHWARTZ J. T., Linear Operators. Part I: General Theory, Interscience, New York, 1958. (1958) MR1009162
  3. HALMOS P. R., Introduction to Hilbert Space and the Theory of Spectral Multiplicity, Chelsea, New York, 1951. (1951) Zbl0045.05702MR1653399
  4. HILLE E.-PHILLIPS R. S., Functional Analysis and Semigroups, Amer. Math. Soc. Colloq. Publ. 31, Providence, RI, 1957. (1957) Zbl0078.10004MR0089373
  5. KELLEY J. L., Commutative operator algebras, Proc. Nat. Acad. Sci. U.S.A. 38 (1952), 598-605. (1952) Zbl0049.20702MR0051440
  6. PANCHAPAGESAN T. V., Multiplicity theory of projections in abelian von Neumann algebras, Rev. Colombiana Mat. 22 (1988), 37-48. (1988) Zbl0687.46039MR1023821
  7. PANCHAPAGESAN T. V., Unitary invariants of spectral measures with the C G S -property, Rend. Circ. Mat. Palermo (2) 42 (1993), 219-248. (1993) Zbl0793.47019MR1244538
  8. PANCHAPAGESAN T. V., Orthogonal and bounded orthogonal spectral representations, Rend. Circ. Mat. Palermo (2) 44 (1995), 417-440. (1995) Zbl0858.47014MR1388755
  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. (1997) MR1710835
  10. PANCHAPAGESAN T. V., A classification of spectral measures with the C G S -property, Atti. Sem. Mat. Fis. Univ. Modena 46 (1999), 67-91. (1999) Zbl0951.28006MR1727412
  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. (1932) MR1451877

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