# Cyclic space isomorphism of unitary operators

Studia Mathematica (1997)

- Volume: 124, Issue: 3, page 259-267
- ISSN: 0039-3223

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topFrączek, Krzysztof. "Cyclic space isomorphism of unitary operators." Studia Mathematica 124.3 (1997): 259-267. <http://eudml.org/doc/216413>.

@article{Frączek1997,

abstract = {We introduce a new equivalence relation between unitary operators on separable Hilbert spaces and discuss a possibility to have in each equivalence class a measure-preserving transformation.},

author = {Frączek, Krzysztof},

journal = {Studia Mathematica},

keywords = {cyclic subspace; cyclic space isomorphism; unitary operators; invertible measure preserving transformations},

language = {eng},

number = {3},

pages = {259-267},

title = {Cyclic space isomorphism of unitary operators},

url = {http://eudml.org/doc/216413},

volume = {124},

year = {1997},

}

TY - JOUR

AU - Frączek, Krzysztof

TI - Cyclic space isomorphism of unitary operators

JO - Studia Mathematica

PY - 1997

VL - 124

IS - 3

SP - 259

EP - 267

AB - We introduce a new equivalence relation between unitary operators on separable Hilbert spaces and discuss a possibility to have in each equivalence class a measure-preserving transformation.

LA - eng

KW - cyclic subspace; cyclic space isomorphism; unitary operators; invertible measure preserving transformations

UR - http://eudml.org/doc/216413

ER -

## References

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- [2] F. Blanchard and M. Lemańczyk, Measure preserving diffeomorphisms with an arbitrary spectral multiplicity, Topol. Methods Nonlinear Anal. 1 (1993), 275-294. Zbl0793.28012
- [3] N. Dunford and T. Schwartz, Linear Operators, Wiley-Interscience, 1971.
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- [6] M. Lemańczyk, Toeplitz ${Z}_{2}$-extensions, Ann. Inst. H. Poincaré Probab. Statist. 24 (1988), 1-43.
- [7] J. Mathew and M. G. Nadkarni, A measure preserving transformation whose spectrum has Lebesgue component of multiplicity two, Bull. London Math. Soc. 16 (1984), 402-406. Zbl0515.28010
- [8] M. Queffélec, Substitution Dynamical Systems - Spectral Analysis, Lecture Notes in Math. 1294, Springer, Berlin, 1987.
- [9] W. Parry, Topics in Ergodic Theory, Cambridge Univ. Press., Cambridge, 1981. Zbl0449.28016
- [10] E. A. Robinson, Ergodic measure preserving transformations with arbitrary finite spectral multiplicities, Invent. Math. 72 (1983), 299-314. Zbl0519.28008
- [11] E. A. Robinson, Transformations with highly nonhomogeneous spectrum of finite multiplicity, Israel J. Math. 56 (1986), 75-88. Zbl0614.28012

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