An abstract model for compressions

Vlastimil Pták; Pavla Vrbová

Časopis pro pěstování matematiky (1988)

  • Volume: 113, Issue: 3, page 252-266
  • ISSN: 0528-2195

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Pták, Vlastimil, and Vrbová, Pavla. "An abstract model for compressions." Časopis pro pěstování matematiky 113.3 (1988): 252-266. <http://eudml.org/doc/19615>.

@article{Pták1988,
author = {Pták, Vlastimil, Vrbová, Pavla},
journal = {Časopis pro pěstování matematiky},
keywords = {direct sum relationships between a contraction and its minimal unitary dilation; geometry of a Hilbert space; bounded linear operator; reducing subspaces},
language = {eng},
number = {3},
pages = {252-266},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {An abstract model for compressions},
url = {http://eudml.org/doc/19615},
volume = {113},
year = {1988},
}

TY - JOUR
AU - Pták, Vlastimil
AU - Vrbová, Pavla
TI - An abstract model for compressions
JO - Časopis pro pěstování matematiky
PY - 1988
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 113
IS - 3
SP - 252
EP - 266
LA - eng
KW - direct sum relationships between a contraction and its minimal unitary dilation; geometry of a Hilbert space; bounded linear operator; reducing subspaces
UR - http://eudml.org/doc/19615
ER -

References

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  1. E. Durszt, Contractions as restricted shifts, Acta Sci. Math. Szeged, 48 (1985), 129-134. (1985) Zbl0588.47013MR0810871
  2. P. R. Halmos, A Hilbert space problem book, D. van Nostrand Comp., Princeton 1967. (1967) Zbl0144.38704MR0208368
  3. B. Sz.-Nagy C. Foias, Harmonie analysis of operators on Hilbert space, Akadémiai Kiadó, Budapest 1970. (1970) MR0275190
  4. V. I. Vasjunin, Construction of the B. Szökefalvi-Nagy - C. Foiaş functional model, (in Russian), AN SSSR, Zapiski naučnych seminarov LOMI, tom 73, 16-23. MR0513165

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