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Banach Spaces with respect to Operator-Valued Norms
- Publication Year :
- 2008
-
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.<br />Comment: 13 page
- Subjects :
- Mathematics - Functional Analysis
Mathematics - Operator Algebras
46B45
46C07
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0803.0041
- Document Type :
- Working Paper