Banach Spaces with respect to Operator-Valued Norms
Functional Analysis
2008-03-04 v1 Operator Algebras
Abstract
We introduce the notions of L(H)-valued norms and Banach spaces with respect to L(H)-valued norms. In particular, we introduce Hilbert spaces with respect to L(H)-valued inner products. In addition, we provide several fundamental examples of Hilbert spaces with respect to L(H)-valued inner products.
Cite
@article{arxiv.0803.0041,
title = {Banach Spaces with respect to Operator-Valued Norms},
author = {Yun-Su Kim},
journal= {arXiv preprint arXiv:0803.0041},
year = {2008}
}
Comments
13 page