Abstract:
We study the bounded variation , tensor products of Banach Lattices,
tensor norms , operators in the category , the interpolation of injective or
projective tensor products of Banach spaces . We give the decomposition of
spaces of distributions induced by tensor product bases, homogeneous
orthogonally additive polynomials on Banach Lattices , on spaces of
continuous functions and positive tensor products . We determine the
localized polynomial frames on the interval with Jacobi weights and on the
ball. We also determine the sub-exponentially localized kernels and frames
induced by orthogonal expansions. We show the operator space UMD
property and constants for non-commutative 𝐿𝑝- spaces and for a class of
iterate 𝐿𝑝(𝑙𝑞) spaces .
