Abstract
We continue the study begun by the third author of -Segal algebra-valued function algebras with an emphasis on the order structure. Our main result is a characterization theorem for -Segal algebra-valued function algebras with an order unitization. As an intermediate step, we establish a function algebraic description of the multiplier module of arbitrary Segal algebra-valued function algebras. We also consider the Gelfand representation of these algebras in the commutative case.
Citation
Jorma Arhippainen. Jukka Kauppi. Jussi Mattas. "Order structure, multipliers, and Gelfand representation of vector-valued function algebras." Banach J. Math. Anal. 11 (1) 207 - 222, January 2017. https://doi.org/10.1215/17358787-3784682
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