Ball proximinality of closed * subalgebras in C(Q)
V. Indumathi; S. Lalithambigai; Bor-Luh Lin
Extracta Mathematicae (2007)
- Volume: 22, Issue: 1, page 1-17
- ISSN: 0213-8743
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topIndumathi, V., Lalithambigai, S., and Lin, Bor-Luh. "Ball proximinality of closed * subalgebras in C(Q)." Extracta Mathematicae 22.1 (2007): 1-17. <http://eudml.org/doc/41866>.
@article{Indumathi2007,
abstract = {The notion of ball proximinality and the strong ball proximinality were recently introduced in [2]. We prove that a closed * subalgebra A of C(Q) is strongly ball proximinal in C(Q) and the metric projection from C(Q), onto the closed unit ball of A, is Hausdorff metric continuous and hence has continuous selection.},
author = {Indumathi, V., Lalithambigai, S., Lin, Bor-Luh},
journal = {Extracta Mathematicae},
keywords = {proximinality; *-subalgebras; space of continuous functions},
language = {eng},
number = {1},
pages = {1-17},
title = {Ball proximinality of closed * subalgebras in C(Q)},
url = {http://eudml.org/doc/41866},
volume = {22},
year = {2007},
}
TY - JOUR
AU - Indumathi, V.
AU - Lalithambigai, S.
AU - Lin, Bor-Luh
TI - Ball proximinality of closed * subalgebras in C(Q)
JO - Extracta Mathematicae
PY - 2007
VL - 22
IS - 1
SP - 1
EP - 17
AB - The notion of ball proximinality and the strong ball proximinality were recently introduced in [2]. We prove that a closed * subalgebra A of C(Q) is strongly ball proximinal in C(Q) and the metric projection from C(Q), onto the closed unit ball of A, is Hausdorff metric continuous and hence has continuous selection.
LA - eng
KW - proximinality; *-subalgebras; space of continuous functions
UR - http://eudml.org/doc/41866
ER -
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