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Session 4. Banach Spaces and Operator Theory with Applications
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Rademacher boundness versus gaussian-boundness |
Stanisław Kwapień, Warsaw University,
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The talk is based on the joint work with Mark Veraar (Delft Univeristy) and
Lutz Weis (Karlsruhe Univerisity)
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We prove that given Banach spaces \(X\) the concepts of Rademacher
boundness and gaussian-boundness for families of operators from
\(X\) coincide if and only if \(X\) has a finite cotype. Simialar
properties are proved for related concepts in the case of Banach
lattices \(X\).
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