Tensor Product Bases and Tensor Diagonals

DOI10.2307/1995513zbMath0216.16203OpenAlexW4244019190MaRDI QIDQ5619419

James R. Holub

Publication date: 1970

Full work available at URL: https://doi.org/10.2307/1995513

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Tensor products in functional analysis (46M05)

Related Items (13)

Tensors in computations ⋮ Regular multilinear operators onC(K)spaces ⋮ A remark on the containment of c₀ in spaces of compact operators ⋮ On the projective tensor product of Fréchet spaces ⋮ Diagonals of injective tensor products of Banach lattices with bases ⋮ On positive tensor products of \(\ell_p\)-spaces ⋮ Tensor Product Bases and Tensor Diagonals ⋮ Diagonal operators, approximation numbers, and Kolmogoroff diameters ⋮ Integral operators on the product of \(C(K)\) spaces. ⋮ The Segre cone of Banach spaces and multilinear mappings ⋮ Tensor product mappings ⋮ Remarks on the Classical Banach Operator Ideals ⋮ Block diagonal polynomials

Cites Work

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• Shorter Notes: A Semishrinking Basis Which is Not Shrinking
• Some Applications of an Inequality in Locally Convex Spaces
• Some curious bases for $c_{0}$ and C[0,1]
• Tensor Product Bases and Tensor Diagonals
• Basic sequences and reflexivity of Banach spaces
• "Closing-Up" of Sequence Spaces
• On the Associate and Conjugate Space for the Direct Product of Banach Spaces
• Produits tensoriels topologiques et espaces nucléaires

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