Displaying similar documents to “On an extension of a theorem of Schur”

Schur and operator multipliers

Ivan G. Todorov, Lyudmila Turowska (2010)

Banach Center Publications

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The present article is a survey of known results on Schur and operator multipliers. It starts with the classical description of Schur multipliers due to Grothendieck, followed by a discussion of measurable Schur multipliers and a generalisation of Grothendieck's Theorem due to Peller. Thereafter, a non-commutative version of Schur multipliers, called operator multipliers and introduced by Kissin and Schulman, is discussed, and a characterisation extending the description in the commutative...

On submeasures I

I. Dobrakoy

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CONTENTSIntroduction....................................................................................... 5§ 1. On submeasures.................................................................... 6§ 2. Extension of submeasures................................................... 21§ 3. Extension of subcontents....................................................... 27References....................................................................................... 35