Functional model for commuting isometries

Karel Horák; Vladimír Müller

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 2, page 370-379
  • ISSN: 0011-4642

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Horák, Karel, and Müller, Vladimír. "Functional model for commuting isometries." Czechoslovak Mathematical Journal 39.2 (1989): 370-379. <http://eudml.org/doc/13783>.

@article{Horák1989,
author = {Horák, Karel, Müller, Vladimír},
journal = {Czechoslovak Mathematical Journal},
keywords = {decomposition into semigroups of unitary operators and unilateral shifts; commutative semigroup of isometries; Wold decomposition; compatible semigroup of isometries; doubly commuting isometries; functional model},
language = {eng},
number = {2},
pages = {370-379},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Functional model for commuting isometries},
url = {http://eudml.org/doc/13783},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Horák, Karel
AU - Müller, Vladimír
TI - Functional model for commuting isometries
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 2
SP - 370
EP - 379
LA - eng
KW - decomposition into semigroups of unitary operators and unilateral shifts; commutative semigroup of isometries; Wold decomposition; compatible semigroup of isometries; doubly commuting isometries; functional model
UR - http://eudml.org/doc/13783
ER -

References

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  1. D. Gaspar N. Suciu, On the structure of isometric semigroups, Operator Theory: Adv. and Appl. 14, Birkhäuser Verlag Basel, 1984, 125-139. (1984) MR0789613
  2. D. Gaspar N. Suciu, Intertwinings of isometric semigroups and Wold type decompositions, Sem. de operatori liniari si analiză armonică, No. 3, 1985. (1985) 
  3. P. R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, Chelsea Publishing Comp. New York, 1951. (1951) Zbl0045.05702MR0045309
  4. P. R. Halmos, Measure Theory, New York, 1950. (1950) Zbl0040.16802MR0033869
  5. H. Helson D. Lowdenslager, 10.1007/BF02545786, Acta Math. 106 (1961), 175-213. (1961) MR0176287DOI10.1007/BF02545786
  6. K. Horák V. Müller, On the structure of commuting isometries, CMUC 28 (1987), 165-171. (1987) MR0889778
  7. G. Kalliampur V. Mandrekar, Nondeterministic random fields and Wold and Halmos decompositions for commuting isometries, Prediction Theory and Harmonic Analysis, North Holland Publ. Comp., 1983, 165-190. (1983) MR0708524
  8. M. Slociński, On the Wold-type decomposition of a pair of commuting isometries, Annales Polonici Math. 37 (1980), 255-262. (1980) MR0587496
  9. M. Slociński, Models of commuting contractions and isometries, Report of the 11th Conference on Operator Theory Bucharest 1986 (to appear). (1986) 
  10. I. Suciu, On the semigroups of isometries, Studia Math. 30. MR0229093

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