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SOME REMARKS ABOUT THE R-BOUNDEDNESS
Chinese Annals of Mathematics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Note on R-boundedness in Bidual Spaces
2009We provide an alternate proof, via the Principle of Local Reflexivity, of the fact that a family of bounded linear operators \( \mathcal{T} \) in a Banach space X is R-bounded iff \( \mathcal{T}^{ * * } \) is R-bounded in the bidual X**.
de Pagter, Ben, Ricker, Werner J.
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manuscripta mathematica, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denk, Robert, Krainer, Thomas
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denk, Robert, Krainer, Thomas
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Marcinkiewicz and Mihlin Multiplier Theorems, and R-Boundedness
2003LetTbe a set of bounded linear operators on a Banach spaceXto a Banach spaceY. Tis said to be R-bounded ifC> 0 such that for any positive integerNand for arbitrary choices of T1,…,TN E Tand x1,…,xNEXone ...
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R-boundedness and operator-valued Fourier multiplier theorems
2012In this chapter we present results on operator-valued Fourier multipliers both in the context of Fourier transform and Fourier series. They employ the concept of R-boundedness which we introduce next. With R-boundedness at hand, conditions can be deduced which make sure that a function defines a Fourier multiplier.
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