Title:
|
Korovkin theory in Banach $^*$-algebras (English) |
Author:
|
Beckhoff, Ferdinand |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
43 |
Issue:
|
5 |
Year:
|
1993 |
Pages:
|
631-642 |
. |
Category:
|
math |
. |
MSC:
|
41A36 |
MSC:
|
41A65 |
MSC:
|
46K99 |
MSC:
|
46L05 |
idZBL:
|
Zbl 0799.41022 |
idMR:
|
MR1273715 |
. |
Date available:
|
2009-09-25T10:52:35Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136595 |
. |
Reference:
|
[Alt2] ALTOMARE F.: On the Korovkin approximation theory in commutative Banach algebras.Rendiconti di Matematica (4) 2 (1982), 755-767. Zbl 0518.46044, MR 0699449 |
Reference:
|
[Alt] ALTOMARE F.: Korovkin closures in Banach Algebras.In: Proc. of the IXth Conf. in Operator Theory, Timisoara-Herculane 1984, pp. 4-14. |
Reference:
|
[Aгv] ARVESON W.: Subalgebras of C*-algebras.Acta Math. 123 (1969), 141-224. MR 0253059 |
Reference:
|
[Bec2] BECKHOFF F.: Korovkin Theorie in Algebren.Schriftenreihe Math. Inst. Univ. Münster 2. Ser. Heft 45, Univ. Münster, Münster, 1987. Zbl 0626.46049, MR 0898870 |
Reference:
|
[Becl] BECKHOFF F.: Korovkin theory in normed algebras.Studia Math. 100 (3) (1991), 219-228. Zbl 0831.46059, MR 1133386 |
Reference:
|
[Bl] BLACKADAR B.: Nonnuclear subalgebras of C*-algebras.J. Operator Theory 14 (1985), 347-350. MR 0808296 |
Reference:
|
[Dxm] DIXMIER J.: C*-algebras.North Holland Math. Library, North-Holland, Amsterdam-New Yoгk, 1981. MR 0458185 |
Reference:
|
[L] LANCE E. C.: Tensor products and nuclear C*-algebras.In: Proc. of Symp. in Pure Math. Vol. 38, Part I, Amer. Math. Soc, Providence, RI, 1982, pp. 379-395. Zbl 0498.46044, MR 0679721 |
Reference:
|
[LN] LIMAYE B. V., NAMBOODIRI M. N. N.: Korovkin type approximation on C*-algebras.J. Approx. Theory 34 (1982), 237-246. Zbl 0501.46049, MR 0654290 |
Reference:
|
[Pa] PANNENBERG M.: Korovkin approximation in Waelbroeck algebras.Math. Ann. 274 (1986), 423-437. Zbl 0576.41014, MR 0842623 |
Reference:
|
[Pd] PEDERSEN G. K.: C*-Algebras and Their Automorphism Groups.Academic Press, London-New York-San Francisco, 1979. Zbl 0416.46043, MR 0548006 |
Reference:
|
[Pl] POULSEN V. I.: Completely Bounded Maps and Dilations.Pitman Res. Notes Math. Ser. 146, Longman, Sci. Tech. Harlow, 1986. MR 0868472 |
Reference:
|
[Pr] PRIESTLEY W. M.: A noncommutative Korovkin theorem.J. Approx. Theory 16 (1976), 251-260. Zbl 0316.41016, MR 0397269 |
Reference:
|
[Rick] RICKART, C : General Theory of Banach Algebras.van Nostrand, New York, 1960. Zbl 0095.09702, MR 0115101 |
Reference:
|
[Rob] ROBERTSON A. G.: A Korovkin theorem for Schwarz maps on C*-algebras.Math. Z. 156 (1977), 205-207. Zbl 0344.46116, MR 0512364 |
Reference:
|
[Rud] RUDIN W.: Fourier Analysis on Groups.Interscience publishers, New York-London, 1962. Zbl 0107.09603, MR 0152834 |
. |