BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 419-426
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We introduce the concept of an E-valued function algebra, a type of Banach algebra that consists of continuous E-valued functions on some compact Hausdorff space, where E is a Banach algebra. We present some basic results about such algebras, having to do with the Shilov boundary and the set of peak points of some commutative E-valued function algebras. We give some specific examples.
NIKOU, AZADEH; O'FARRELL, ANTHONY G. BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 419-426. doi: 10.1017/S0017089513000359
@article{10_1017_S0017089513000359,
author = {NIKOU, AZADEH and O'FARRELL, ANTHONY G.},
title = {BANACH {ALGEBRAS} {OF} {VECTOR-VALUED} {FUNCTIONS}},
journal = {Glasgow mathematical journal},
pages = {419--426},
year = {2014},
volume = {56},
number = {2},
doi = {10.1017/S0017089513000359},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000359/}
}
TY - JOUR AU - NIKOU, AZADEH AU - O'FARRELL, ANTHONY G. TI - BANACH ALGEBRAS OF VECTOR-VALUED FUNCTIONS JO - Glasgow mathematical journal PY - 2014 SP - 419 EP - 426 VL - 56 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000359/ DO - 10.1017/S0017089513000359 ID - 10_1017_S0017089513000359 ER -
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