The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square

DOI10.1007/S11117-012-0166-8zbMath1281.46021arXiv1109.5380OpenAlexW2032917786MaRDI QIDQ360415

Alexey I. Popov, Adi Tcaciuc, Vladimir G. Troitsky, Qingying Bu, G. J. H. M. Buskes

Publication date: 26 August 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5380

zbMATH Keywords

Banach latticeconcavificationdiagonal of tensor squareFremlin projective tensor productsquare of a Banach lattice

Mathematics Subject Classification ID

Banach lattices (46B42) Banach sequence spaces (46B45) Ordered normed spaces (46B40) Tensor products in functional analysis (46M05)

Related Items (8)

On compact domination of homogeneous orthogonally additive polynomials ⋮ Bases in the space of regular multilinear operators on Banach lattices ⋮ Diagonals of injective tensor products of Banach lattices with bases ⋮ On positive tensor products of \(\ell_p\)-spaces ⋮ Subprojective Banach spaces ⋮ A version of Kalton's theorem for the space of regular operators ⋮ Fremlin tensor products of concavifications of Banach lattices ⋮ Positive Schur properties in spaces of regular operators

Cites Work

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• Polynomials on Banach lattices and positive tensor products
• Bases of tensor products of Banach spaces
• Polynomials on Riesz spaces
• Functional calculus on Riesz spaces
• Tensor products of Banach lattices
• The main triangle projection in matrix spaces and its applications
• Tensor Products of Archimedean Vector Lattices
• Squares of Riesz spaces

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