Ergodic Banach lattices
نویسندگان
چکیده
منابع مشابه
Ergodic BSDEs and Optimal Ergodic Control in Banach Spaces
In this paper we introduce a new kind of Backward Stochastic Differential Equations, called ergodic BSDEs, which arise naturally in the study of optimal ergodic control. We study the existence, uniqueness and regularity of solution to ergodic BSDEs. Then we apply these results to the optimal ergodic control of a Banach valued stochastic state equation. We also establish the link between the erg...
متن کاملSome properties of b-weakly compact operators on Banach lattices
In this paper we give some necessary and sufficient conditions for which each Banach lattice is space and we study some properties of b-weakly compact operators from a Banach lattice into a Banach space . We show that every weakly compact operator from a Banach lattice into a Banach space is b-weakly compact and give a counterexample which shows that the inverse is not true but we prove ...
متن کاملA Banach-stone Theorem for Riesz Isomorphisms of Banach Lattices
Let X and Y be compact Hausdorff spaces, and E, F be Banach lattices. Let C(X,E) denote the Banach lattice of all continuous E-valued functions on X equipped with the pointwise ordering and the sup norm. We prove that if there exists a Riesz isomorphism Φ : C(X,E) → C(Y, F ) such that Φf is non-vanishing on Y if and only if f is non-vanishing on X, then X is homeomorphic to Y , and E is Riesz i...
متن کاملSome results about unbounded convergences in Banach lattices
Suppose E is a Banach lattice. A net in E is said to be unbounded absolute weak convergent ( uaw-convergent, for short) to provided that the net convergences to zero, weakly. In this note, we further investigate unbounded absolute weak convergence in E. We show that this convergence is stable under passing to and from ideals and sublattices. Compatible with un-convergenc, we show that ...
متن کاملSome Weakly Compact Operators between Banach Lattices Do Not Factor through Reflexive Banach Lattices
We construct an example proving the claim of the title.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1990
ISSN: 0019-3577
DOI: 10.1016/0019-3577(90)90016-g