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Title: Weak approximation by positive maps on $C\sp \ast$-algebras (English)
Author: Limaye, Balmohan Vishnu
Author: Namboodiri, M. N. N.
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 36
Issue: 1
Year: 1986
Pages: 91-99
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Category: math
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MSC: 41A36
MSC: 46L05
idZBL: Zbl 0593.41020
idMR: MR832374
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Date available: 2009-09-25T09:52:03Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136416
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Reference: [1] ARVESON W.: Subalgebras of C*-algebras.Acta. Math. 123, 1969, 141-224. MR 0253059
Reference: [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.
Reference: [3] KADISON R. V.: A generalized Schwarz inequality and algebгaic invaгiants for opeгatoг algebгas.Ann. Math. 56, 1952, 494-503. MR 0051442
Reference: [4] KADISON R. V.: The tгace in finite opeгatoг algebras.Pгoc. Amer. Math. Soc. 12, 1961, 973-977. MR 0139961
Reference: [5] KADISON R. V.: Lectuгes on Opeгatoг Algebгas.Cargese Lectures in Theoretical Physics, 41-82, Gordon and Breach Science Pub., New York, 1967. MR 0229440
Reference: [6] KOROVKIN P. P.: Lineaг Opeгators and Appгoximation Theory.Hindustan Pub. Cor., Delhi, 1960. MR 0150565
Reference: [7] LIMAYE B. V., NAMBOODIRI M. N. N.: Approximation by positive functionals.J. Indian Math. Soc. 43, 1979, 195-202. MR 0682014
Reference: [8] LIMAYE B. V., NAMBOODIRI M. N. N.: Koгovkin-type approximation on C*-algebras.J. Approx. Theory 34, 1982, 237-246. MR 0654290
Reference: [9] LIMAYE B. V., SHIRALI S. D.: Koгovkin's theoгem foг positive functionals on * noгmed algebras.J. Indian Math. Soc. 40, 1976, 163-172. MR 0493371
Reference: [10] TAKESAKI M.: Theory of Operator Algebras I.Springer-Verlag, New York, 1979. Zbl 0436.46043, MR 0548728
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