Approximation Results in the Strict Topology

João B. Prolla; Samuel Navarro

Annales mathématiques Blaise Pascal (1997)

  • Volume: 4, Issue: 2, page 61-82
  • ISSN: 1259-1734

How to cite

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Prolla, João B., and Navarro, Samuel. "Approximation Results in the Strict Topology." Annales mathématiques Blaise Pascal 4.2 (1997): 61-82. <http://eudml.org/doc/79191>.

@article{Prolla1997,
author = {Prolla, João B., Navarro, Samuel},
journal = {Annales mathématiques Blaise Pascal},
keywords = {strict topology; bounded continuous functions; multiplier; completely regular Hausdorff space; approximation theorems},
language = {eng},
number = {2},
pages = {61-82},
publisher = {Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal},
title = {Approximation Results in the Strict Topology},
url = {http://eudml.org/doc/79191},
volume = {4},
year = {1997},
}

TY - JOUR
AU - Prolla, João B.
AU - Navarro, Samuel
TI - Approximation Results in the Strict Topology
JO - Annales mathématiques Blaise Pascal
PY - 1997
PB - Laboratoires de Mathématiques Pures et Appliquées de l'Université Blaise Pascal
VL - 4
IS - 2
SP - 61
EP - 82
LA - eng
KW - strict topology; bounded continuous functions; multiplier; completely regular Hausdorff space; approximation theorems
UR - http://eudml.org/doc/79191
ER -

References

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  1. [1] R.C. Buck, Bounded continuous functions on a locally compact space, MichiganMath. J.5 (1958), 95-104. Zbl0087.31502MR105611
  2. [2] R.C. Buck, Approximation properties of vector-valued functions, Pacific J. Math.53 (1974), 85-94. Zbl0258.41023MR367650
  3. [3] R. Giles, A generalization of the strict topology, Trans. Amer. Math. Soc.161 (1971), 467-474. Zbl0204.43603MR282206
  4. [4] I. Glicksberg, Bishop's generalized Stone-Weierstrass Theorem for the strict topology, Proc. Amer. Math. Soc.14 (1963), 329-333. Zbl0113.31501MR146645
  5. [5] J.B. Prolla, Approximation of Vector Valued Function. North-Holland Publ. Co., Amsterdam, 1977. Zbl0373.46048MR500122
  6. [6] J.B. Prolla, Weierstrass-Stone, the Theorem. Verlag Peter Lang, Frankfurt am Main, 1993. Zbl0849.41029MR1213324
  7. [7] C. Todd, Stone-Weirstrass theorems for the strict topology, Proc. Amer. Math. Soc.16 (1965), 654-659. Zbl0141.12203MR179645
  8. [8] J. Wells, Bounded continuous vector-valued functions on a locally compact space, Michigan Math. J.12 (1965), 119-126. Zbl0163.36301MR176318

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