Hyperreflexive operators on finite dimensional Hilbert spaces

Štefan Drahovský; Michal Zajac

Mathematica Bohemica (1993)

  • Volume: 118, Issue: 3, page 249-254
  • ISSN: 0862-7959

Abstract

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In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.

How to cite

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Drahovský, Štefan, and Zajac, Michal. "Hyperreflexive operators on finite dimensional Hilbert spaces." Mathematica Bohemica 118.3 (1993): 249-254. <http://eudml.org/doc/29083>.

@article{Drahovský1993,
abstract = {In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.},
author = {Drahovský, Štefan, Zajac, Michal},
journal = {Mathematica Bohemica},
keywords = {commutant; reflexivity; hyperreflexive operators on finite dimensional Hilbert spaces; invariant subspace; commutant; reflexivity; hyperreflexive operators on finite dimensional Hilbert spaces},
language = {eng},
number = {3},
pages = {249-254},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Hyperreflexive operators on finite dimensional Hilbert spaces},
url = {http://eudml.org/doc/29083},
volume = {118},
year = {1993},
}

TY - JOUR
AU - Drahovský, Štefan
AU - Zajac, Michal
TI - Hyperreflexive operators on finite dimensional Hilbert spaces
JO - Mathematica Bohemica
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 118
IS - 3
SP - 249
EP - 254
AB - In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given.
LA - eng
KW - commutant; reflexivity; hyperreflexive operators on finite dimensional Hilbert spaces; invariant subspace; commutant; reflexivity; hyperreflexive operators on finite dimensional Hilbert spaces
UR - http://eudml.org/doc/29083
ER -

References

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  1. Bercovici H., Operator Theory and Arithmetic in H ∞ , Mathemaical surveys and monographs 26, A.M.S. Providence, Rhode Island, 1988. (1988) MR0954383
  2. Bercovici H., Foiaş C., Sz.- Nagy B., Reflexive and hyper-reflexive operators of class C 0 , Acta Sci. Math. 43 (1981), 5-13. (1981) MR0621348
  3. Deddens J. A., Fillmore P. A., Reflexive Linear Transformations, Linear Algebra Appl. 10 (1975), 89-93. (1975) Zbl0301.15011MR0358390
  4. Fillmore P. A., Herrero, Domingo A., Longstaff W. E., The Hyperinvariant Subspace Lattice of a Linear Transformation, Linear Algebra Appl. 17 (1977), 125-132. (1977) Zbl0359.47005MR0470707
  5. Sz.-Nagy B., Foiaş, C, Harmonic Analysis of Operators on Hilbert Space, North-Holland, Amsterdam - Akadémiai Kiadó, Budapest, 1970. (1970) Zbl0201.45003MR0275190
  6. Zajac M., On the singular unitary part of a contraction, Rev. Roumaine Math. Pures Appl. 35 (1990), 379-384. (1990) Zbl0723.47007MR1082520
  7. Horn R.A., Johnson C.R., Topics in Matrix Analysis, Cambridge University Press, 1991. (1991) Zbl0729.15001MR1091716

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