Operator-valued multiplier theorems characterizing Hilbert spaces

DOI10.1017/S1446788700013550zbMath1078.42003MaRDI QIDQ4668457

Wolfgang Arendt, Shang Quan Bu

Publication date: 19 April 2005

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

zbMATH Keywords

Hilbert spaceoperator-valued Fourier multiplierRademacher boundedness

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Multipliers in one variable harmonic analysis (42A45) Nontrigonometric harmonic analysis (42C99)

Related Items (3)

The nuclear trace of periodic vector‐valued pseudo‐differential operators with applications to index theory ⋮ Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality ⋮ If time were a graph, what would evolution equations look like?

Cites Work

• Unnamed Item
• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• \(L_p\)-maximal regularity on Banach spaces with a Schauder basis
• Maximal regularity of discrete and continuous time evolution equations
• Operator–valued Fourier multiplier theorems on Besov spaces
• Fourier multipliers for Hölder continuous functions and maximal regularity
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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