Korovkin theory in Banach * -algebras

Ferdinand Beckhoff

Mathematica Slovaca (1993)

  • Volume: 43, Issue: 5, page 631-642
  • ISSN: 0139-9918

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Beckhoff, Ferdinand. "Korovkin theory in Banach $^*$-algebras." Mathematica Slovaca 43.5 (1993): 631-642. <http://eudml.org/doc/34371>.

@article{Beckhoff1993,
author = {Beckhoff, Ferdinand},
journal = {Mathematica Slovaca},
keywords = {Korovkin closures},
language = {eng},
number = {5},
pages = {631-642},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Korovkin theory in Banach $^*$-algebras},
url = {http://eudml.org/doc/34371},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Beckhoff, Ferdinand
TI - Korovkin theory in Banach $^*$-algebras
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 5
SP - 631
EP - 642
LA - eng
KW - Korovkin closures
UR - http://eudml.org/doc/34371
ER -

References

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  1. ALTOMARE F., On the Korovkin approximation theory in commutative Banach algebras, Rendiconti di Matematica (4) 2 (1982), 755-767. (1982) Zbl0518.46044MR0699449
  2. ALTOMARE F., Korovkin closures in Banach Algebras, In: Proc. of the IXth Conf. in Operator Theory, Timisoara-Herculane 1984, pp. 4-14. (1984) 
  3. ARVESON W., Subalgebras of C*-algebras, Acta Math. 123 (1969), 141-224. (1969) MR0253059
  4. BECKHOFF F., Korovkin Theorie in Algebren, Schriftenreihe Math. Inst. Univ. Münster 2. Ser. Heft 45, Univ. Münster, Münster, 1987. (1987) Zbl0626.46049MR0898870
  5. BECKHOFF F., Korovkin theory in normed algebras, Studia Math. 100 (3) (1991), 219-228. (1991) Zbl0831.46059MR1133386
  6. BLACKADAR B., Nonnuclear subalgebras of C*-algebras, J. Operator Theory 14 (1985), 347-350. (1985) MR0808296
  7. DIXMIER J., C*-algebras, North Holland Math. Library, North-Holland, Amsterdam-New Yoгk, 1981. (1981) MR0458185
  8. 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. (1982) Zbl0498.46044MR0679721
  9. LIMAYE B. V., NAMBOODIRI M. N. N., Korovkin type approximation on C*-algebras, J. Approx. Theory 34 (1982), 237-246. (1982) Zbl0501.46049MR0654290
  10. PANNENBERG M., Korovkin approximation in Waelbroeck algebras, Math. Ann. 274 (1986), 423-437. (1986) Zbl0576.41014MR0842623
  11. PEDERSEN G. K., C*-Algebras and Their Automorphism Groups, Academic Press, London-New York-San Francisco, 1979. (1979) Zbl0416.46043MR0548006
  12. POULSEN V. I., Completely Bounded Maps and Dilations, Pitman Res. Notes Math. Ser. 146, Longman, Sci. Tech. Harlow, 1986. (1986) MR0868472
  13. PRIESTLEY W. M., A noncommutative Korovkin theorem, J. Approx. Theory 16 (1976), 251-260. (1976) Zbl0316.41016MR0397269
  14. RICKART, C, General Theory of Banach Algebras, van Nostrand, New York, 1960. (1960) Zbl0095.09702MR0115101
  15. ROBERTSON A. G., A Korovkin theorem for Schwarz maps on C*-algebras, Math. Z. 156 (1977), 205-207. (1977) Zbl0344.46116MR0512364
  16. RUDIN W., Fourier Analysis on Groups, Interscience publishers, New York-London, 1962. (1962) Zbl0107.09603MR0152834

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