6533b823fe1ef96bd127e06a
RESEARCH PRODUCT
The Schur property on projective and injective tensor products
Pilar RuedaGeraldo Botelhosubject
PolynomialPure mathematicsTensor product of algebrasApplied MathematicsGeneral MathematicsTensor product of Hilbert spacesBanach spaceInjective functionAlgebraTensor productLocally convex topological vector spaceTensor product of modulesMathematics::Representation TheoryMathematicsdescription
The problem of whether the Schur property is passed from a Banach space to its (symmetric) projective n-fold tensor product is reformu lated in the language of polynomial ideals. As a result, a very closely related question is solved in the negative. It is also proved that the injective tensor product of infrabarrelled locally convex spaces with the Schur property has the Schur property as well.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-05-22 | Proceedings of the American Mathematical Society |