Non-uniqueness of topology for algebras of polynomials

M. Wojciechowski; W. Żelazko

Colloquium Mathematicae (1997)

  • Volume: 72, Issue: 1, page 111-121
  • ISSN: 0010-1354

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Wojciechowski, M., and Żelazko, W.. "Non-uniqueness of topology for algebras of polynomials." Colloquium Mathematicae 72.1 (1997): 111-121. <http://eudml.org/doc/210448>.

@article{Wojciechowski1997,
author = {Wojciechowski, M., Żelazko, W.},
journal = {Colloquium Mathematicae},
keywords = {complete locally convex topologies; topological algebra; algebras of polynomials; free algebras; non-uniqueness; complete locally multiplicatively convex algebra; semitopological algebra},
language = {eng},
number = {1},
pages = {111-121},
title = {Non-uniqueness of topology for algebras of polynomials},
url = {http://eudml.org/doc/210448},
volume = {72},
year = {1997},
}

TY - JOUR
AU - Wojciechowski, M.
AU - Żelazko, W.
TI - Non-uniqueness of topology for algebras of polynomials
JO - Colloquium Mathematicae
PY - 1997
VL - 72
IS - 1
SP - 111
EP - 121
LA - eng
KW - complete locally convex topologies; topological algebra; algebras of polynomials; free algebras; non-uniqueness; complete locally multiplicatively convex algebra; semitopological algebra
UR - http://eudml.org/doc/210448
ER -

References

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  1. [1] R. L. Carpenter, Uniqueness of topology for commutative semisimple F-algebras, Proc. Amer. Math. Soc. 29 (1971), 113-117. Zbl0214.38301
  2. [2] A. Kokk and W. Żelazko, On vector spaces and algebras with maximal locally pseudoconvex topologies, Studia Math. 112 (1995), 195-201. Zbl0837.46037
  3. [3] E. Michael, Locally multiplicatively-convex topological algebras, Mem. Amer. Math. Soc. 11 (1952). Zbl0047.35502
  4. [4] W. Żelazko, A characterization of LC-non-removable ideals in commutative Banach algebras, Pacific J. Math. 87 (1980), 241-248. Zbl0446.46046
  5. [5] W. Żelazko, On topologization of countably generated algebras, Studia Math. 112 (1994), 83-88. Zbl0832.46042
  6. [6] W. Żelazko, Concerning topologization of P(t), Acta Univ. Lodz. Folia Math. 8 (1996), 153-159. Zbl0892.46056
  7. [7] W. Żelazko, Concerning topologization of algebras-the results and open problems, in: Advances in Functional Analysis, New Age Internat. Publ., 1996 (in print). 

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