Positivity 4: 259–288, 2000. © 2000 Kluwer Academic Publishers. Printed in the Netherlands. Band Decompositions for Disjointness Preserving Operators 1 2 B. DE PAGTER and A.R. SCHEP Department of Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208, USA 1. Introduction Let E and F be Riesz spaces with F Dedekind complete and let T;S V E ! F be order bounded linear disjointness preserving operators. The main problem we discuss in this paper is to ﬁnd conditions on either T and S, or the space E,so that the property that T and S are disjoint in the space or order bounded operators from E into F , implies that T and S have locally disjoint images, i.e., implies that there exists a ﬁnite band decomposition E E D E of E such that 1 n Tf?Sf for all f 2 E and all i D 1;::: ;n. We will also study the related question whether there exists a ﬁnite band decomposition E E D E of E such that 1 n the restrictions .T C S/ are again disjointness preserving. Our approach
Positivity – Springer Journals
Published: Oct 16, 2004
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
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.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera