Abstract M- and Abstract L-Spaces of Polynomials on Banach Lattices

DOI10.1017/S0013091514000297zbMath1336.46042OpenAlexW2329721360MaRDI QIDQ2949786

Yongjin Li, Qingying Bu, G. J. H. M. Buskes

Publication date: 2 October 2015

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091514000297

zbMATH Keywords

finite variationAM spaceregular homogeneous polynomialAL space

Mathematics Subject Classification ID

Banach lattices (46B42) (Spaces of) multilinear mappings, polynomials (46G25) Ideals of polynomials and of multilinear mappings in operator theory (47L22)

Related Items (5)

Bases in the space of regular multilinear operators on Banach lattices ⋮ Diagonals of injective tensor products of Banach lattices with bases ⋮ Corrigendum and Addendum: Abstract M- and Abstract L-Spaces of Polynomials on Banach Lattices ⋮ Convexity conditions for the space of regular operators ⋮ Regularity of continuous multilinear operators and homogeneous polynomials

Cites Work

• Unnamed Item
• Polynomials on Banach lattices and positive tensor products
• Banach lattices
• Bounded variation and tensor products of Banach lattices
• Orthogonally additive polynomials on spaces of continuous functions
• Some characterizations of AM- and AL-spaces
• Tensor products of Banach lattices
• Polynomials on Banach spaces with unconditional bases
• On Products in Lattice-ordered Algebras
• HOMOGENEOUS ORTHOGONALLY ADDITIVE POLYNOMIALS ON BANACH LATTICES

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