6533b826fe1ef96bd1284ef6

RESEARCH PRODUCT

On distinguished polynomials and their projections

Pilar RuedaErhan ÇAlışkan

subject

Pure mathematicsTensor productTensor product of algebrasPower sum symmetric polynomialGeneral MathematicsTopological tensor productMathematical analysisTensor product of Hilbert spacesSymmetric tensorElementary symmetric polynomialTensor densityMathematics

description

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.

https://doi.org/10.5186/aasfm.2012.3745