On the structure of commuting isometries

Karel Horák; Vladimír Müller

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 1, page 165-171
  • ISSN: 0010-2628

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Horák, Karel, and Müller, Vladimír. "On the structure of commuting isometries." Commentationes Mathematicae Universitatis Carolinae 028.1 (1987): 165-171. <http://eudml.org/doc/17523>.

@article{Horák1987,
author = {Horák, Karel, Müller, Vladimír},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Wold decomposition; structure of two commuting isometries; unilateral shifts; compatible isometries},
language = {eng},
number = {1},
pages = {165-171},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the structure of commuting isometries},
url = {http://eudml.org/doc/17523},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Horák, Karel
AU - Müller, Vladimír
TI - On the structure of commuting isometries
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 1
SP - 165
EP - 171
LA - eng
KW - Wold decomposition; structure of two commuting isometries; unilateral shifts; compatible isometries
UR - http://eudml.org/doc/17523
ER -

References

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  1. D. GAŞPAR N. SUCIU, On the structure of isometric semigroups, Operator Theory: Adv. and Appl. 14, Birkhäuser Verlag Basel, 1984, 125-139. (1984) MR0789613
  2. D. GAŞPAR 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 apace and the theory of spectral multiplicity, Chelsea Publishing Comp. New York, 1951. (1951) MR0045309
  4. P. R. HALMOS, Shifts on Hilbert spaces, J. reine und angew. Math. 208 (1961), 102-112. (1961) Zbl0107.09802MR0152896
  5. H. HELSON, Lectures on invariant subspaces, Academic Press, New York and London, 1964. (1964) Zbl0119.11303MR0171178
  6. H. HELSON D. LOWDENSLAGER, Prediction theory and Fourier series, in several variables II, Acta Math. 106 (1961), 175-213. (1961) MR0176287
  7. O. KALLIAMPUR V. MANDREKAR, Nondeterministic random fields and Wold and Halmoa decompositions for commuting isometries, Prediction Theory and Harmonic Analysis, North Holland Publ. Comp., 1983, 165-190. (1983) MR0708524
  8. M. KOSIEK, Lebesgue-type decompositions of a pair of commuting Hilbert space operators, Bull. Acad. Polon. Sci., Ser. Math. 27 (1979), 583-589. (1979) Zbl0462.47015MR0581556
  9. P. S. MUHLY, A structure theory for isometric representations of a class of semigroups, J. Reine und angew. Math. 225 (1972), 135-154. (1972) Zbl0244.47030MR0390804
  10. M. SLOCIŃSKI, On the Wold-type decomposition of a pair of commuting isometries, Annales Polonici Math. 37 (1980), 255-262. (1980) MR0587496
  11. M. SLOCIŃSKI, Models of commuting contractions and isometries, Report of the 11th Conference on Operator Theory Bucharest 1986 (to appear). (1986) 
  12. I. SUCIU, On the semigroups of isometries, Studia Math. 30 (1968), 101-110. (1968) MR0229093

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