Search results for "Tensor product of algebras"

showing 5 items of 5 documents

Tensor product characterizations of mixed intersections of non quasianalytic classes and kernel theorems

2009

Mixed intersections of non quasi-analytic classes have been studied in [12]. Here we obtain tensor product representations of these spaces that lead to kernel theorems as well as to tensor product representations of intersections of non quasi-analytic classes on product of open or of compact sets (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

AlgebraPure mathematicsCompact spaceTensor productTensor product of algebrasKernel (set theory)General MathematicsTensor (intrinsic definition)Product (mathematics)Tensor product of Hilbert spacesTensor product of modulesMathematicsMathematische Nachrichten
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Invertibility in tensor products of Q-algebras

2002

AlgebraTensor contractionTensor productTensor product of algebrasGeneral MathematicsTensor (intrinsic definition)Tensor product of Hilbert spacesRicci decompositionSymmetric tensorTensor product of modulesMathematicsStudia Mathematica
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The Schur property on projective and injective tensor products

2008

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.

PolynomialPure mathematicsTensor product of algebrasApplied MathematicsGeneral MathematicsTensor product of Hilbert spacesBanach spaceInjective functionAlgebraTensor productLocally convex topological vector spaceTensor product of modulesMathematics::Representation TheoryMathematicsProceedings of the American Mathematical Society
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On distinguished polynomials and their projections

2012

We study projections and injections between projective tensor products spaces or spaces of polynomials and we show that the example of a polynomial constructed in (4), that is neither p-dominated nor compact, can be identified with the projection map of the symmetric tensor product onto the space. Also we give a characterization of the weak and quasi approximation properties on symmetric tensor products.

Pure mathematicsTensor productTensor product of algebrasPower sum symmetric polynomialGeneral MathematicsTopological tensor productMathematical analysisTensor product of Hilbert spacesSymmetric tensorElementary symmetric polynomialTensor densityMathematicsAnnales Academiae Scientiarum Fennicae Mathematica
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Some algebraic and topological properties of the nonabelian tensor product

2013

Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.

Tensor contractionNonabelian tensor productTensor product of algebrasGeneral MathematicsTensor product of Hilbert spaceshomologyTopologyAlgebraalgebraic topologyTensor productSymmetric tensorRicci decompositionwsg propertyTensor product of modulesfree productSettore MAT/03 - GeometriaTensor densityMathematics
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