Showing papers on "Orthogonal complement published in 1998"
TL;DR: The non-commutative analytic Toeplitz algebra is the WOT-closed algebra generated by the left regular representation of the free semigroup onn generators as discussed by the authors.
Abstract: The non-commutative analytic Toeplitz algebra is the WOT-closed algebra generated by the left regular representation of the free semigroup onn generators. We obtain a distance formula to an arbitrary WOT-closed right ideal and thereby show that the quotient is completely isometrically isomorphic to the compression of the algebra to the orthogonal complement of the range of the ideal. This is used to obtain Nevanlinna-Pick type interpolation theorems
208 citations
TL;DR: In this paper, the geometric characterization and structure of Finsler manifolds with constant flag curvature (CFC) was studied, and it was shown that the horizontal distribution is integrable if and only if the Ricci curvature along the Hilbert form on the projective sphere bundle attains identically its maximum.
Abstract: The geometric characterization and structure of Finsler manifolds with constant flag curvature (CFC) are studied. It is proved that a Finsler space has constant flag curvature 1 (resp. 0) if and only if the Ricci curvature along the Hilbert form on the projective sphere bundle attains identically its maximum (resp. Ricci scalar). The horizontal distributionH of this bundle is integrable if and only ifM has zero flag curvature. When a Finsler space has CFC, Hilbert form’s orthogonal complement in the horizontal distribution is also integrable. Moreover, the minimality of its foliations is equivalent to given Finsler space being Riemannian, and its first normal space is vertical
7 citations
TL;DR: In this paper, the equivariant intersection form of a (G, w)-manifold is analyzed in terms of the total space of a finite G-cover, where G is a finite group and w: G + { f l} a homomorphism.
4 citations
8 Mar 1998
TL;DR: In this article, it is indicated how, in signal matrix-based processing problems, to estimate a signal subspace or its orthogonal complement when the data contain small perturbations.
Abstract: It is indicated how, in signal matrix-based processing problems, to estimate a signal subspace or its orthogonal complement when the data contain small perturbations. Singular value decompositions (SVD) are used.
TL;DR: In this paper, the authors give a regular symmetric bilinear form on a finite-dimensional vector space V over a commutative field K of characteristic 6D 2.
Abstract: Suppose we are given a regular symmetric bilinear form on a finite-dimensional vector space V over a commutative field K of characteristic6D 2. We want to write given elements of the commutator subgroup .V/ (of the orthogonal group O.V/) and also of the kernel of the spinorial norm ker.2/ as (short) products of involutions and as products of commutators.
TL;DR: This paper obtains a complete set of matrix representatives for the bilinear forms on a three-dimensional vector space over a finite field of any characteristic, without assuming that the form is symmetric or non-degenerate.
TL;DR: In this article, it was shown that continuous bilinear forms on spaces of continuous functions can be approximated by norm attaining bilinearly forms on the spaces of functions.
Abstract: We show that continuous bilinear forms on spaces of continuous functions can be approximated by norm attaining bilinear forms.