Sums of orthogonal projections
نویسندگان
چکیده
منابع مشابه
Products of Orthogonal Projections
We give a characterization of operators on a separable Hilbert space of norm less than one that can be represented as products of orthogonal projections and give an estimate on the number of factors. We also describe the norm closure of the set of all products of orthogonal projections.
متن کاملProjections of regular orthogonal arrays
In this paper, we show that the projection of a regular orthogonal array of strength t onto more than t factors consists of replicates of either a fractional factorial or a full factorial design of strength t, depending on the number of factors retained in the projection.
متن کاملSmooth Orthogonal Projections on Sphere
We construct a decomposition of the identity operator on the sphere S as a sum of smooth orthogonal projections subordinate to an open cover of S. We give applications of our main result in the study of function spaces and Parseval frames on the sphere.
متن کاملLearning orthogonal projections for Isomap
We propose a dimensionality reduction technique in this paper, named Orthogonal Isometric Projection (OIP). In contrast with Isomap, which learns the low-dimension embedding, and solves problem under the classic Multidimensional Scaling (MDS) framework, we consider an explicit linear projection by capturing the geodesic distance, which is able to handle new data straightforward, and leads to a ...
متن کاملMulticommutators and multianticommutators of orthogonal projections
We establish sufficient and necessary conditions for an n× n Hermitian matrix A to be a multicommutator or a multianticommutator of orthoprojections.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2014
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2014.05.003