Abstract Cesàro spaces: integral representations

DOI10.1016/j.jmaa.2016.03.074zbMath1355.46031arXiv1512.02760OpenAlexW2292026546MaRDI QIDQ275280

Guillermo P. Curbera, Werner J. Ricker

Publication date: 25 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02760

zbMATH Keywords

Cesàro operatorrearrangement invariant spacesvector measureskernel operators

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) Integration with respect to measures and other set functions (28A25)

Related Items (13)

Random unconditional convergence and divergence in Banach spaces close to \(L^1\) ⋮ On the Radon-Nikodym property in function spaces ⋮ Quotients, \(\ell_\infty\) and abstract Cesàro spaces ⋮ Essential norm of Cesàro operators on \(L^p\) and Cesàro spaces ⋮ The weak Banach-Saks property for function spaces ⋮ Unnamed Item ⋮ Asymptotic isometries for lacunary Müntz spaces and applications ⋮ On weakly almost square Banach spaces ⋮ Isomorphic Structure of Cesàro and Tandori Spaces ⋮ Rotundity and monotonicity properties of selected Cesàro function spaces ⋮ Local approach to order continuity in Cesàro function spaces ⋮ Isometric copies of \(l^\infty\) in Cesàro-Orlicz function spaces ⋮ Isomorphic and isometric structure of the optimal domains for Hardy-type operators

Cites Work

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• Abstract Cesàro spaces. Duality
• Operators into \(L^ 1\) of a vector measure and applications to Banach lattices
• Optimal domain and integral extension of operators, acting in function spaces
• Structure of Cesàro function spaces
• Vector measures: Where are their integrals?
• Rademacher series in symmetric spaces
• When \(L^ 1\) of a vector measure is an AL-space
• Abstract Cesàro spaces. Optimal range
• Optimal extension of the Cesàro operator in \(L^p ([0,1)\)]
• Banach lattices with the Fatou property and optimal domains of kernel operators
• Compactness of the integration operator associated with a vector measure
• When is the Optimal Domain of a Positive Linear Operator a Weighted L 1-space?
• Operator ideal properties of vector measures with finite variation
• Weak Compactness and Vector Measures
• Cesàro function spaces fail the fixed point property
• Separability of the L¹-space of a vector measure
• A note on function spaces generated by Rademacher series
• Banach Space Properties of L 1 of a Vector Measure
• Structure of Cesàro function spaces: a survey

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