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.
Keywords:
- Tensor product of algebras
- Complete homogeneous symmetric polynomial
- Tensor contraction
- Tensor (intrinsic definition)
- Tensor product of Hilbert spaces
- Power sum symmetric polynomial
- Symmetric tensor
- Mathematical analysis
- Topology
- Mathematics
- Topological tensor product
- Tensor product
- Tensor density
- Elementary symmetric polynomial
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