Duality in some vector-valued function spaces

DOI10.1216/rmjm/1181072745zbMath0769.46004OpenAlexW1992680946MaRDI QIDQ1201201

Patrick N. Dowling

Publication date: 17 January 1993

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072745

zbMATH Keywords

vector measuresdual groupSidon setanalytic Radon-Nikodým propertyRiesz set\(\Lambda\)-Radon-Nikodým property\(X\)-valued Hardy spaceBanach spaces not containing a copy of \(c_ 0\)vector valued \(H^ p\) spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Duality and reflexivity in normed linear and Banach spaces (46B10) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (7)

Some properties of the injective tensor product of \(L^{p}\)[0,1 and a Banach space.] ⋮ Applications of semi-embeddings to the study of the projective tensor product of Banach spaces ⋮ Some properties of the injective tensor product of Banach spaces ⋮ The complete continuity property in Banach spaces ⋮ Some Applications of Convolution of Operators on Banach Spaces ⋮ Some properties of the projective tensor product UX derived from those of U and X ⋮ Uniform Kadec–Klee–Huff properties of vector-valued Hardy spaces

Cites Work

• Boundary properties of analytic and harmonic functions with values in Banach space
• Linear functionals on certain spaces of abstractly valued functions
• On bases and unconditional convergence of series in Banach spaces
• On Banach spaces containing $c_{0}$. A supplement to the paper by J.Hoffman-Jørgensen "Sums of independent Banach space valued random variables"
• Complemented Copies of c 0 in Vector-Valued Hardy Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Duality in some vector-valued function spaces