EMBEDDINGS OF MÜNTZ SPACES: THE HILBERTIAN CASE.

Given a strictly increasing sequence ʌ=(λ_n) of nonnegative real numbers, with ..., theMüntz spaces M_ʌ^p. are defined as the closure in L^p([0, 1]) of the monomials x^λ_n. We discuss properties of the embedding M_ʌ^p⊂L^p(μ), where μ is a finite positive Borel measure on the interval [0, 1]. Most of the results are obtained for the Hilbertian case p = 2, in which we give conditions for the embedding to be bounded, compact, or to belong to the Schatten-von Neumann ideals. [ABSTRACT FROM AUTHOR]