Representation of Banach Ideal Spaces and Factorization of Operators

DOI10.4153/CJM-2005-035-0zbMath1099.46020OpenAlexW2038978468MaRDI QIDQ3370684

E. I. Berezhnoi, Lech Maligranda

Publication date: 8 February 2006

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-2005-035-0

zbMATH Keywords

uniqueness problemOrlicz spacesweighted spacesweight functionsreal interpolation methodpositive linear operatorsfactorization of operatorsSchur testBanach ideal spacescomplex interpolation methodpositive sublinear operatorsCalderón-Lozanovsky spacesfactorization of weightsrepresentation of spaces

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) Banach lattices (46B42) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Interpolation between normed linear spaces (46B70)

Related Items (13)

Symmetrization, factorization and arithmetic of quasi-Banach function spaces ⋮ Interpolation of abstract Cesàro, Copson and Tandori spaces ⋮ Represensibility of cones of monotone functions in weighted Lebesgue spaces and extrapolation of operators on these cones ⋮ Factorization theorems for multiplication operators on Banach function spaces ⋮ Multipliers for global Morrey spaces ⋮ CALDERON- LOZANOVSKII CONSTRUCTION FOR A COUPLE OF GLOBAL MORREY SPACES ⋮ Two embedding theorems for interpolation functors on couples of global Morrey spaces ⋮ Multipliers for the Calderón construction ⋮ Pointwise products of some Banach function spaces and factorization ⋮ CALCULATION OF THE CALDER´ON – LOZANOVSKII CONSTRUCTION FOR A COUPLE OF LOCAL MORREY SPACES ⋮ Products and factors of Banach function spaces ⋮ Toeplitz and Hankel operators between distinct Hardy spaces ⋮ Multipliers for local Morrey spaces

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