Tensor Products And Independent Sums Of Mathcal L P Spaces 1

Tensor Products and Independent Sums of $\mathcal L_p$-Spaces, $1

Two methods of constructing infinitely many isomorphically distinct $\mathcal L_p$-spaces have been published. In this volume, the author shows that these constructions yield very different spaces and in the process develop methods for dealing with these spaces from the isomorphic viewpoint.

Tensor products and indipendent Sum of lp-Spaces, 1

Tensor Spaces and Numerical Tensor Calculus

Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. The monograph describes the methods how tensors can be practically treated and how numerical operations can be performed. Applications are problems from quantum chemistry, approximation of multivariate functions, solution of pde, e.g., with stochastic coefficients, etc. ​