Linear operators on the space of bounded continuous functions with strict topologies

Linear operators on the space of bounded continuous functions with strict topologies Let X be a completely regular Hausdorff space, and let C b (X) denote the Banach space of all real-valued bounded continuous functions on X. We study linear operators from C b (X) provided with the strict topology β σ to a Banach space $${(E,\|\cdot\|_E)}$$ . In particular, we derive a Yosida–Hewitt type decomposition for weakly compact operators from C b (X) to E. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Linear operators on the space of bounded continuous functions with strict topologies

, Volume 14 (4) – Jun 23, 2010
9 pages

/lp/springer_journal/linear-operators-on-the-space-of-bounded-continuous-functions-with-SNZv175gdA
Publisher
SP Birkhäuser Verlag Basel
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/s11117-010-0068-6
Publisher site
See Article on Publisher Site

Abstract

Let X be a completely regular Hausdorff space, and let C b (X) denote the Banach space of all real-valued bounded continuous functions on X. We study linear operators from C b (X) provided with the strict topology β σ to a Banach space $${(E,\|\cdot\|_E)}$$ . In particular, we derive a Yosida–Hewitt type decomposition for weakly compact operators from C b (X) to E.

Journal

PositivitySpringer Journals

Published: Jun 23, 2010

DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month Explore the DeepDyve Library Unlimited reading Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere. Stay up to date Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates. Organize your research It’s easy to organize your research with our built-in tools. Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve Freelancer DeepDyve Pro Price FREE$49/month

\$360/year
Save searches from