A dilation theorem for operators on Banach spaces

Elena Stroescu

Mémoires de la Société Mathématique de France (1972)

  • Volume: 31-32, page 365-373
  • ISSN: 0249-633X

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Stroescu, Elena. "A dilation theorem for operators on Banach spaces." Mémoires de la Société Mathématique de France 31-32 (1972): 365-373. <http://eudml.org/doc/94634>.

@article{Stroescu1972,
author = {Stroescu, Elena},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {365-373},
publisher = {Société mathématique de France},
title = {A dilation theorem for operators on Banach spaces},
url = {http://eudml.org/doc/94634},
volume = {31-32},
year = {1972},
}

TY - JOUR
AU - Stroescu, Elena
TI - A dilation theorem for operators on Banach spaces
JO - Mémoires de la Société Mathématique de France
PY - 1972
PB - Société mathématique de France
VL - 31-32
SP - 365
EP - 373
LA - eng
UR - http://eudml.org/doc/94634
ER -

References

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  1. [1] COLOJOARA (I.) and FOIAS (C.). — Theory of generalized spectral operators. Gordon and Breach Sci. Publ. New-York, (1969). 
  2. [2] HALMOS (P. R.). — A Hilbert space problem book. D. Van Nostrand Company, Inc., Princeton, (1967). Zbl0144.38704MR34 #8178
  3. [3] HOFFMAN (K.). — Banach spaces of analytic functions. Prentice-Hall, Inc., Englewood Cliffs, (1962). Zbl0117.34001MR24 #A2844
  4. [4] IONESCU TULCEA (C.). — Scalar dilations and scalar extensions of operators on Banach spaces (I). J. Math. Mech., 14 (1965), 841-865. Zbl0138.39203MR32 #1561
  5. [5] IONESCU TULCEA (C.) et PLAFKER (S.). — Dilatations et extensions scalaires sur les espaces de Banach. C. R. Acad. Sci. Paris, 265 (1967), 734-735. Zbl0177.41103MR37 #5700
  6. [6] NAGY (B. Sz.). — Appendix to "Leçons d'Analyse Fonctionnelle" by F. Riesz and B. Sz Nagy, Paris, (1965), 439-473. 
  7. [7] STINESPRING (W. F.). — Positive functions on C*-algebras. Proc. Amer. Math. Soc. 6, (1955), 211-216. Zbl0064.36703MR16,1033b
  8. [8] STROESCU (E.). — µ-scalar dilations and µ-scalar extensions of operators on Banach spaces. Rev. Roum. Math. Pures et Appl., XIV, N° 4 (1969), 567-572. Zbl0186.45401MR40 #4793
  9. [9] STROESCU (E.). — a-spectral dilations for operators on Banach spaces. (to appear in Journal of Math. Anal. and Appl.). Zbl0242.47014

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