On multiplication in spaces of continuous functions

Marek Balcerzak; Aleksander Maliszewski

Colloquium Mathematicae (2011)

  • Volume: 122, Issue: 2, page 247-253
  • ISSN: 0010-1354

Abstract

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We introduce and examine the notion of dense weak openness. In particular we show that multiplication in C(X) is densely weakly open whenever X is an interval in ℝ.

How to cite

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Marek Balcerzak, and Aleksander Maliszewski. "On multiplication in spaces of continuous functions." Colloquium Mathematicae 122.2 (2011): 247-253. <http://eudml.org/doc/286216>.

@article{MarekBalcerzak2011,
abstract = {We introduce and examine the notion of dense weak openness. In particular we show that multiplication in C(X) is densely weakly open whenever X is an interval in ℝ.},
author = {Marek Balcerzak, Aleksander Maliszewski},
journal = {Colloquium Mathematicae},
keywords = {spaces of continuous functions; multiplication as a mapping; open mapping},
language = {eng},
number = {2},
pages = {247-253},
title = {On multiplication in spaces of continuous functions},
url = {http://eudml.org/doc/286216},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Marek Balcerzak
AU - Aleksander Maliszewski
TI - On multiplication in spaces of continuous functions
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 247
EP - 253
AB - We introduce and examine the notion of dense weak openness. In particular we show that multiplication in C(X) is densely weakly open whenever X is an interval in ℝ.
LA - eng
KW - spaces of continuous functions; multiplication as a mapping; open mapping
UR - http://eudml.org/doc/286216
ER -

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