Weak approximation by positive maps on C * -algebras

Balmohan Vishnu Limaye; M. N. N. Namboodiri

Mathematica Slovaca (1986)

  • Volume: 36, Issue: 1, page 91-99
  • ISSN: 0232-0525

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Limaye, Balmohan Vishnu, and Namboodiri, M. N. N.. "Weak approximation by positive maps on $C^\ast $-algebras." Mathematica Slovaca 36.1 (1986): 91-99. <http://eudml.org/doc/34232>.

@article{Limaye1986,
author = {Limaye, Balmohan Vishnu, Namboodiri, M. N. N.},
journal = {Mathematica Slovaca},
keywords = {extreme point; positive map; spectrum; weak approximation; - algebras; Jordan product; Hilbert space},
language = {eng},
number = {1},
pages = {91-99},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Weak approximation by positive maps on $C^\ast $-algebras},
url = {http://eudml.org/doc/34232},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Limaye, Balmohan Vishnu
AU - Namboodiri, M. N. N.
TI - Weak approximation by positive maps on $C^\ast $-algebras
JO - Mathematica Slovaca
PY - 1986
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 36
IS - 1
SP - 91
EP - 99
LA - eng
KW - extreme point; positive map; spectrum; weak approximation; - algebras; Jordan product; Hilbert space
UR - http://eudml.org/doc/34232
ER -

References

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  1. ARVESON W., Subalgebras of C*-algebras, Acta. Math. 123, 1969, 141-224. (1969) MR0253059
  2. GANTMAKHER F. P., KREIN M. G., Oscillation Matгices and Keгnels, and Small Vibгations of Mechanical Systems, 2nd Edition, Gostekhizat, Moscow, 1950; English tгanslation published by U. S. Atomic Energy Commission. (1950) 
  3. KADISON R. V., A generalized Schwarz inequality and algebгaic invaгiants for opeгatoг algebгas, Ann. Math. 56, 1952, 494-503. (1952) MR0051442
  4. KADISON R. V., The tгace in finite opeгatoг algebras, Pгoc. Amer. Math. Soc. 12, 1961, 973-977. (1961) MR0139961
  5. KADISON R. V., Lectuгes on Opeгatoг Algebгas, Cargese Lectures in Theoretical Physics, 41-82, Gordon and Breach Science Pub., New York, 1967. (1967) MR0229440
  6. KOROVKIN P. P., Lineaг Opeгators and Appгoximation Theory, Hindustan Pub. Cor., Delhi, 1960. (1960) MR0150565
  7. LIMAYE B. V., NAMBOODIRI M. N. N., Approximation by positive functionals, J. Indian Math. Soc. 43, 1979, 195-202. (1979) MR0682014
  8. LIMAYE B. V., NAMBOODIRI M. N. N., Koгovkin-type approximation on C*-algebras, J. Approx. Theory 34, 1982, 237-246. (1982) MR0654290
  9. LIMAYE B. V., SHIRALI S. D., Koгovkin's theoгem foг positive functionals on * noгmed algebras, J. Indian Math. Soc. 40, 1976, 163-172. (1976) MR0493371
  10. TAKESAKI M., Theory of Operator Algebras I, Springer-Verlag, New York, 1979. (1979) Zbl0436.46043MR0548728

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