Hyperinvariant subspace lattice of isometries

Michal Zajac

Mathematica Slovaca (1987)

  • Volume: 37, Issue: 3, page 291-297
  • ISSN: 0139-9918

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Zajac, Michal. "Hyperinvariant subspace lattice of isometries." Mathematica Slovaca 37.3 (1987): 291-297. <http://eudml.org/doc/32201>.

@article{Zajac1987,
author = {Zajac, Michal},
journal = {Mathematica Slovaca},
keywords = {hyperinvariant subspace; singular unitary; hyperinvariant lattice; unilateral shift of arbitrary multiplicity has property (L); decomposition into the singular, absolutely continuous and the shift part; double commutant},
language = {eng},
number = {3},
pages = {291-297},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Hyperinvariant subspace lattice of isometries},
url = {http://eudml.org/doc/32201},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Zajac, Michal
TI - Hyperinvariant subspace lattice of isometries
JO - Mathematica Slovaca
PY - 1987
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 37
IS - 3
SP - 291
EP - 297
LA - eng
KW - hyperinvariant subspace; singular unitary; hyperinvariant lattice; unilateral shift of arbitrary multiplicity has property (L); decomposition into the singular, absolutely continuous and the shift part; double commutant
UR - http://eudml.org/doc/32201
ER -

References

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  1. CONWAY J. B., Wu P. Y., The splitting of Q ( T 1 ⊕ T 2 ) and related questions, Indiana Univ. Math. J. 26, 1977, 41-56. (1977) MR0425673
  2. DOUGLAS R. G., On the hyperinvariant subspaces for isometries, Math. Z. 107, 1968, 297-300. (1968) MR0253076
  3. DOUGLAS R. G., PEARCY C., On a topology for invariant subspaces, J. Funct. Anal. 2, 1968, 323-341. (1968) Zbl0174.17903MR0233224
  4. DUNFORD N., SCHWARTZ J. T., Linear Operators, Part II, Interscience Publishers New York, London, 1963. (1963) Zbl0128.34803MR0188745
  5. Sz.-NAGY B., FOIAŞ C., Harmonic Analysis of Operators on Hilbert Space, Akadémiai Kiadó, Budapest, 1970. (1970) Zbl0201.45003MR0275190
  6. RADJAVI H., ROSENTHAL P., Invariant Subspaces, Springer-Verlag Berlin, Heidelberg, New York, 1973. (1973) Zbl0269.47003MR0367682
  7. ZAJAC M., Hyperinvariant subspace lattice of som C0 contractions, Math. Slovaca 31, 1981, 397-404. (1981) MR0637967
  8. ZAJAC M., Hyperinvariant subspace lattice of weak contractions, Math. Slovaca 33, 1983, 75-80. (1983) Zbl0509.47005MR0689281
  9. ZAJAC M., Hyperinvariant subspaces of weak contrctions, Spectral Theory of Linear Operators and Related Topics, 8th International Conference on Operator Theory, Timisoara and Herculane (Romania), Operator Theory: Advances and Applications Vol. 14, Birkhäuser Verlag Basel, Boston, Stuttgart, 1984, 291-299. (1984) MR0789627

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