Vector subspaces and operators with the Stone condition

Vector subspaces and operators with the Stone condition We introduce the notion of an operating function on a subset of a $${\Phi}$$ -algebra E. Then we use this notion to generalize results from Huijsmans and de Pagter (Proc. Lond. Math. Soc. 48:161–174, 1984) about the connection between vector subspaces and subalgebras of E. In the second part we investigate the analogous problem for operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Vector subspaces and operators with the Stone condition

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Publisher
Springer Journals
Copyright
Copyright © 2010 by Springer Basel AG
Subject
Mathematics; Econometrics; Calculus of Variations and Optimal Control; Optimization; Potential Theory; Operator Theory; Fourier Analysis
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-010-0064-x
Publisher site
See Article on Publisher Site

Abstract

We introduce the notion of an operating function on a subset of a $${\Phi}$$ -algebra E. Then we use this notion to generalize results from Huijsmans and de Pagter (Proc. Lond. Math. Soc. 48:161–174, 1984) about the connection between vector subspaces and subalgebras of E. In the second part we investigate the analogous problem for operators.

Journal

PositivitySpringer Journals

Published: Jun 5, 2010

References

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