On the density of polynomials in some spaces \(L^2(M)\)

DOI10.1134/S0001434614010064zbMath1328.46028OpenAlexW1969330269MaRDI QIDQ2341958

Sergey M. Zagorodnyuk

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614010064

zbMATH Keywords

Hamburger moment problemvector-valued polynomialcommuting self-adjoint and unitary operatorsDevinatz moment problemmatrix-valued nonnegative Borel measurepower-trigonometric polynomialspectrum of finite multiplicity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Approximation by polynomials (41A10)

Cites Work

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• The square-integrability of matrix-valued functions with respect to a non-negative Hermitian measure
• Density of polynomials in some \(L^{2}\) spaces on radial rays in the complex plane
• A description of all solutions of the matrix Hamburger moment problem in a general case
• The Nevanlinna parametrization for a matrix moment problem
• Spectral theory of operator measures in Hilbert space

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