scientific article

zbMath0529.47035MaRDI QIDQ3311179

Albrecht Pietsch

Publication date: 1982

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

cylindrical measuresadjoint idealnuclear spacesoperator ideals on Banach spacesstructure theory of Banach spacesBanach space without the approximation propertydiagonal operators on classical sequence spacesnuclear, integral, absolutely summing and factorable operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Measures and integration on abstract linear spaces (46G12) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

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The estimates of the Schatten-Neumann norms of one class of integral operators ⋮ Vector lattice structure in spaces of absolutely summing operators ⋮ Estimates for the entropy numbers of the Nikol'skii–Besov classes of functions with mixed smoothness in the space of quasi‐continuous functions ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ On estimates for the norms of the Hardy operator acting in the Lorenz spaces ⋮ Fourier--Rademacher coefficients of functions in rearrangement-invariant spaces ⋮ The estimates of the approximation numbers of the Hardy operator acting in the Lorenz spaces in the case ${\it {\bf \max}(r,s)\leq q}$

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