On the structure of commuting isometries
Horák, Karel ; Müller, Vladimír
Commentationes Mathematicae Universitatis Carolinae, Tome 028 (1987), p. 165-171 / Harvested from Czech Digital Mathematics Library
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Publié le : 1987-01-01
Classification:  47A65,  47B37,  47B99,  47D03,  47D05 
@article{106519,
     author = {Karel Hor\'ak and Vladim\'\i r M\"uller},
     title = {On the structure of commuting isometries},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {028},
     year = {1987},
     pages = {165-171},
     zbl = {0619.47014},
     mrnumber = {889778},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106519}
}

Horák, Karel; Müller, Vladimír. On the structure of commuting isometries. Commentationes Mathematicae Universitatis Carolinae, Tome 028 (1987) pp. 165-171. http://gdmltest.u-ga.fr/item/106519/

D. Gaşpar N. Suciu On the structure of isometric semigroups, Operator Theory: Adv. and Appl. 14, Birkhäuser Verlag Basel, 1984, 125-139. (1984) | MR 0789613

D. Gaşpar N. Suciu Intertwinings of isometric semigroups and Wold type decompositions, Sem. de operatori liniari si analiză armonică, No. 3, 1985. (1985)

P. R. Halmos Introduction to Hilbert apace and the theory of spectral multiplicity, Chelsea Publishing Comp. New York, 1951. (1951) | MR 0045309

P. R. Halmos Shifts on Hilbert spaces, J. reine und angew. Math. 208 (1961), 102-112. (1961) | MR 0152896 | Zbl 0107.09802

H. Helson Lectures on invariant subspaces, Academic Press, New York and London, 1964. (1964) | MR 0171178 | Zbl 0119.11303

H. Helson D. Lowdenslager Prediction theory and Fourier series, in several variables II, Acta Math. 106 (1961), 175-213. (1961) | MR 0176287

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) | MR 0708524

M. Kosiek Lebesgue-type decompositions of a pair of commuting Hilbert space operators, Bull. Acad. Polon. Sci., Ser. Math. 27 (1979), 583-589. (1979) | MR 0581556 | Zbl 0462.47015

P. S. Muhly A structure theory for isometric representations of a class of semigroups, J. Reine und angew. Math. 225 (1972), 135-154. (1972) | MR 0390804 | Zbl 0244.47030

M. Slociński On the Wold-type decomposition of a pair of commuting isometries, Annales Polonici Math. 37 (1980), 255-262. (1980) | MR 0587496

M. Slociński Models of commuting contractions and isometries, Report of the 11th Conference on Operator Theory Bucharest 1986 (to appear). (1986)

I. Suciu On the semigroups of isometries, Studia Math. 30 (1968), 101-110. (1968) | MR 0229093