# 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

, Volume 21 (3) – Nov 3, 2016
16 pages

/lp/springer_journal/isomorphic-copies-of-l-infty-l-in-ces-ro-orlicz-function-spaces-IuUrzYa0Bw
Publisher
Springer Journals
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

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