Estimates of approximation numbers and applications

DOI10.1007/s10114-012-9547-yzbMath1292.47012OpenAlexW2164166102MaRDI QIDQ1943212

Veli B. Shakhmurov

Publication date: 15 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9547-y

zbMATH Keywords

approximation numbersoperator-valued multipliersBanach-valued function spacesinterpolation of Banach spacesdifferential-operator equationsseparable boundary value problemsKolmogorov numbers

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) Boundary value problems for second-order elliptic equations (35J25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Positive linear operators and order-bounded operators (47B65) Linear differential equations in abstract spaces (34G10) Multipliers in one variable harmonic analysis (42A45) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

Nonlocal problems for Boussinesq equations ⋮ Linear and nonlinear abstract differential equations of high order ⋮ Separability properties of singular degenerate abstract differential operators and applications

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