Remark on Walter’s inequality for Schur multipliers
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- by Marek Bożejko PDF
- Proc. Amer. Math. Soc. 107 (1989), 133-136 Request permission
Abstract:
We extend and give another proof of Walter’s inequality: For a linear operator $T \in L({l^2}(X))$ \[ ||T||_{{V_2}(X)}^2 \leq || |T{|_l}|{|_{{V_2}(X)}}|| |T{|_r}|{|_{{V_2}(X)}},\] where ${V_2}(X)$ is the Banach algebra of Schur multipliers on $L({l^2}(X))$ and $|T{|_l} = {(TT)^{*1/2}},|T{|_r} = |{T^*}{|_l}$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 133-136
- MSC: Primary 47B38; Secondary 42B15
- DOI: https://doi.org/10.1090/S0002-9939-1989-1007285-7
- MathSciNet review: 1007285