Sebestyén moment problem: The multi-dimensional case
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چکیده
منابع مشابه
Sebestyén Moment Problem: the Multi-dimensional Case
Given a family {hn}n∈ZΩ+ of vectors in a Hilbert space H we characterize the existence of a family of commuting contractions T = {Tω}w∈Ω on H having regular dilation and such that hn = T h0, n ∈ Z+. The theorem is a multi-dimensional analogue for some well-known operator moment problems due to Sebestyén in case |Ω| = 1 or, recently, to Găvruţă and Păunescu in case |Ω| = 2. Let H be a complex Hi...
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15 صفحه اولPositivity, sums of squares and the multi-dimensional moment problem II
The paper is a continuation of work initiated by the first two authors in [K–M]. Section 1 is introductory. In Section 2 we give new proofs of results of Scheiderer in [S1] [S2] in the compact case; see Corollaries 2.3, 2.4 and 2.5. The main tool in Section 2, Lemma 2.1, is also used in Section 3 where we continue the examination of the case n = 1 initiated in [K–M], concentrating on the compac...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2003
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-03-07291-5