Locating Ax, where A is a subspace of B(H)
Functional Analysis
2015-07-01 v3
Abstract
Let A be a linear space of operators on a Hilbert space H, x a vector in H, and Ax the subspace of H comprising all vectors of the form Tx with T in A. We discuss, within a Bishop-style constructive framework, conditions under which the projection [Ax] of H on the closure of Ax exists. We derive a general result that leads directly to both the open mapping theorem and our main theorem on the existence of [Ax].
Keywords
Cite
@article{arxiv.1404.6956,
title = {Locating Ax, where A is a subspace of B(H)},
author = {Douglas Suth Bridges},
journal= {arXiv preprint arXiv:1404.6956},
year = {2015}
}