Wold-type extension for N-tuples of commuting contractions
Studia Mathematica (1999)
- Volume: 137, Issue: 1, page 81-91
- ISSN: 0039-3223
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top- [1] H. Bercovici, Notes on invariant subspaces, Bull. Amer. Math. Soc. 23 (1990), 1-36. Zbl0727.47001
- [2] H. Bercovici, Commuting power-bounded operators, Acta Sci. Math. (Szeged) 57 (1993), 55-64. Zbl0819.47017
- [3] H. Bercovici, C. Foiaş, and C. Pearcy, Dual Algebras with Applications to Invariant Subspaces and Dilation Theory, CBMS Regional Conf. Ser. in Math. 56, Amer. Math. Soc., Providence, RI, 1985. Zbl0569.47007
- [4] L. Kérchy, Unitary asymptotes of Hilbert space operators, in: Functional Analysis and Operator Theory, Banach Center Publ. 30, Inst. Math., Polish Acad. Sci., Warszawa, 1994, 191-201. Zbl0807.47005
- [5] M. Kosiek and A. Octavio, On common invariant subspaces for N-tuples of commuting contractions with rich spectrum, to appear. Zbl1061.47007
- [6] M. Kosiek, A. Octavio, and M. Ptak, On the reflexivity of pairs of contractions, Proc. Amer. Math. Soc. 123 (1995), 1229-1236. Zbl0836.47006
- [7] M. Kosiek and M. Ptak, Reflexivity of n-tuples of contractions with rich joint left essential spectrum, Integral Equations Operator Theory 13 (1990), 395-420. Zbl0743.47032
- [8] A. Octavio, Coisometric extension and functional calculus for pairs of contractions, J. Operator Theory 31 (1994), 67-82. Zbl0872.47009
- [9] M. Słociński, On the Wold type decomposition of a pair of commuting isometries, Ann. Polon. Math. 37 (1980), 255-262. Zbl0485.47018
- [10] B. Sz.-Nagy and C. Foiaş, Harmonic Analysis of Operators on Hilbert Space, North-Holland, Amsterdam, 1970. Zbl0201.45003