Isomorphic copies of $$l^\infty $$ l ∞ in Cesàro–Orlicz function spaces

Isomorphic copies of $$l^\infty $$ l ∞ in Cesàro–Orlicz function spaces We characterize Cesàro–Orlicz function spaces $$Ces_\varphi $$ C e s φ containing isomorphic copy of $$l^\infty $$ l ∞ . We also describe the subspaces $$(Ces_\varphi )_a$$ ( C e s φ ) a of all order continuous elements of $$Ces_\varphi $$ C e s φ . Finally, we study the monotonicity structure of the spaces $$Ces_\varphi $$ C e s φ and $$(Ces_\varphi )_a$$ ( C e s φ ) a . http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Isomorphic copies of $$l^\infty $$ l ∞ in Cesàro–Orlicz function spaces

Loading next page...
 
/lp/springer_journal/isomorphic-copies-of-l-infty-l-in-ces-ro-orlicz-function-spaces-IuUrzYa0Bw
Publisher
Springer International Publishing
Copyright
Copyright © 2016 by The Author(s)
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-016-0449-6
Publisher site
See Article on Publisher Site

Abstract

We characterize Cesàro–Orlicz function spaces $$Ces_\varphi $$ C e s φ containing isomorphic copy of $$l^\infty $$ l ∞ . We also describe the subspaces $$(Ces_\varphi )_a$$ ( C e s φ ) a of all order continuous elements of $$Ces_\varphi $$ C e s φ . Finally, we study the monotonicity structure of the spaces $$Ces_\varphi $$ C e s φ and $$(Ces_\varphi )_a$$ ( C e s φ ) a .

Journal

PositivitySpringer Journals

Published: Nov 3, 2016

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

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

Explore the DeepDyve Library

Search

Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly

Organize

Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.

Access

Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.

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.

See the journals in your area

DeepDyve

Freelancer

DeepDyve

Pro

Price

FREE

$49/month
$360/year

Save searches from
Google Scholar,
PubMed

Create lists to
organize your research

Export lists, citations

Read DeepDyve articles

Abstract access only

Unlimited access to over
18 million full-text articles

Print

20 pages / month

PDF Discount

20% off