# 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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