Generalized $l^{p}$ spaces and the Schur property.

Schur-Pair Property and the Structure of Varietal Covering Groups

Totally probabilistic Lp spaces

In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is alsoshown that if the distribution p satises p "1 then, as in the classical case, these spaces are completeprobabilistic normed spaces.

THE DAUGAVET PROPERTY OF C-ALGEBRAS AND NON-COMMUTATIVE Lp-SPACES

where IX is the identity map on X . The study of the Daugavet property was inaugurated by I. Daugavet [4] in 1961; he proved that every compact operator on C([0, 1]) satisfies (1.1). Consequently, C([0, 1]) has the DP. Investigation of the Daugavet property continued in the seventies and eighties. In particular, J. Holub proved in [7] and [8] (see also [11]) that for any Hausdorff compact topol...

Noncommutative Lp spaces, Operator spaces and Applications

Overview of the field. NoncommutativeLp-spaces are at the heart of this conference. These spaces have a long history going back to pioneering works by von Neumann, Dixmier and Segal. They are the analogues of the classical Lebesgue spaces of pintegrable functions, where now functions are replaced by operators. These spaces have been investigated for operator algebras with a trace, and then arou...

Stabilizing the Generalized Schur Algorithm

This paper provides a detailed analysis that shows how to stabilize the generalized Schur algorithm, which is a fast procedure for the Cholesky factorization of positive-definite struc-tured matrices R that satisfy displacement equations of the form R-FRF T GJGT, where J is a 2 x 2 signature matrix, F is a stable lower-triangular matrix, and G is a generator matrix. In particular, two new schem...