Minimal projections in tensor-product spaces

DOI10.1007/BF01162353zbMath0594.46061OpenAlexW4251569299MaRDI QIDQ5903144

William A. Light

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173707

zbMATH Keywords

tensor product spaceprojection constantsminimal projectionsexistence of bounded projections from \(L_ 1\) onto \(H_ 1\)

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) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Tensor products in functional analysis (46M05)

Related Items

Subspaces of codimension two with large projection constants, Minimal projections in spaces of functions of \(N\) variables, Uniqueness of minimal Fourier-type extensions in \(L_1\)-spaces, Uniqueness of minimal projections in smooth expanded matrix spaces, Minimal projection onto certain subspace of Lp(X×Y×Z), Chalmers-Metcalf operator and uniqueness of minimal projections, Some Results on Absolute Projection Constants, Best Approximation in Numerical Radius, On the Unique Minimality of the Fourier Projection inL_pSpaces, Uniqueness of minimal projections in smooth matrix spaces, Where there's a Will there's a way -- the research of Will Light, Minimal Boolean sum and blending-type projections and extensions

Cites Work

• Minimal \(L_ p\) projections by Fourier, Taylor, and Laurent series
• Positive and minimal projections in function spaces
• The Nonexistence of Projections from L 1 to H 1
• Projections on Invariant Subspaces
• Projections on Tensor Product Spaces
• Minimal projections in L_p-spaces
• On some properties of p-nuclear and p-integral operators
• Minimal projections in tensor-product spaces
• Unnamed Item