منابع مشابه
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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On the Hilbert space ̃L2(T) the singular integral operator with non-Carleman shift and conjugation K = P+ + (aI + AC)P− is considered, where P± are the Cauchy projectors, A = m ∑ j=0 ajU j , a,aj , j = 1,m , are continuous functions on the unit circle T , U is the shift operator and C is the operator of complex conjugation. Some estimates for the dimension of the kernel of the operator K are obt...
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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