The conjugation operator on $A\sb q(G)$

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THE CONJUGATION OPERATOR ON Aq(G)

with the norm ‖f‖Aq = ‖f‖L1 +‖f̂‖lq . Then Aq(G) is a commutative semisimple Banach algebra with maximal ideal space Γ , in which the set of trigonometric polynomials is dense [4]. The Ap-spaces have been studied in [1, 6]. If G is, in addition, a connected group, then its dual can be ordered; there exists a semigroup P ⊂ Γ such that P∩−P = {0}, P∪−P = Γ (see [5]), and we say that γ ∈ Γ is posit...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1994

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1994-1181167-4