Positivity 4: 245–251, 2000. © 2000 Kluwer Academic Publishers. Printed in the Netherlands. Asymptotic Behavior of Positive Operators on Banach Lattices 1 2 3 E.YU. EMEL’YANOV , F. RÄBIGER and M.P.H. WOLFF Sobolev Institute of Mathematics at NBovosibirsk, Universitetskii pr. 4, 630090 Novosibirsk, Russia E-mail: email@example.com Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany E-mail: firstname.lastname@example.org E-mail: email@example.com 1. Introduction In the present paper we present some results dealing with the asymptotic behavior of positive operators on a Banach lattice. Some of the results are known. The others were recently obtained by the authors. We will consider mean ergodicity, strong stability, and almost periodicity of positive operators directly and in connection with some properties of the Banach lattice on which they act. Several results require countable order completeness or the existence of a topological orthogonal system in the Banach lattice which is satisﬁed for all classical Banach lattices. This leads to some open questions which will be posed in the paper. Our terminology and notations are standard and follow to books of [5, 7] and . We consider bounded linear operators on complex Banach spaces and Banach lattices. 1. Let X be a Banach space. An
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