Open AccessMatriceal Lebesgue spaces and Hölder inequality
Author(s) -
Sorina Bârză,
Dimitri Kravvaritis,
Nicolae Popa
Publication year - 2005
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2005/376150
Subject(s) - mathematics , lp space , pure mathematics , inequality , lebesgue integration , hölder's inequality , standard probability space , discrete mathematics , mathematical analysis , banach space , linear inequality
summary:Let $B_w(\ell ^p)$ denote the space of infinite matrices $A$ for which $A(x)\in \ell ^p$ for all $x=\{x_k\}_{k=1}^\infty \in \ell ^p$ with $|x_k|\searrow 0$. We characterize the upper triangular positive matrices from $B_w(\ell ^p)$, $1
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