Results 11 to 20 of about 47 (44)
A note on topologically b-order bounded sets and generalized b-weakly compact operators
, 2022 We study the class of order weakly compact operators on locally solid Riesz spaces and the introduced class of generalized b-weakly compact operators on locally convex-solid Riesz spaces. We prove as a consequence that some well-known results on b-weakly
Birol ALTIN +3 more
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The lattice‐isometric copies of ℓ∞(Γ) in quotients of Banach lattices
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 3003-3006, 2003., 2003 Let E be a Banach lattice and let M be a norm‐closed and Dedekind σ‐complete ideal of E. If E contains a lattice‐isometric copy of ℓ∞, then E/M contains such a copy as well, or M contains a lattice copy of ℓ∞. This is one of the consequences of more general results presented in this paper.
Marek Wójtowicz
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About interpolation of subspaces of rearrangement invariant spaces generated by Rademacher system
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 451-465, 2001., 2001 The Rademacher series in rearrangement invariant function spaces “close” to the space L∞ are considered. In terms of interpolation theory of operators, a correspondence between such spaces and spaces of coefficients generated by them is stated. It is proved that this correspondence is one‐to‐one. Some examples and applications are presented.
Sergey V. Astashkin
wiley +1 more source
Notes on Lattice Ordered Aalgebras [PDF]
, 2014 In this paper we introduce a new class of lattice ordered algebra, which will be called a pseudo-almost f-algebra; namely, a lattice ordered algebra A in which a ∧ b = 0 in A implies ab ∧ ba = 0.
Yılmaz, Ruşen
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HLLY'S Theorem in Banach Lattice With order continuous norm in term of a double sequence [PDF]
, 2015 In this paper, we introduce Helly and Helly -Bray theorems in term double sequence in the context of Riesz space with order continuous norm, and we review some of the results that are needed to prove our theorems. We state some definitions, like
Abed, Saja Fadhil +2 more
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Plus-Minus Property as a Generalization of the Daugavet Property [PDF]
, 2010 2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to ...
Shepelska, Varvara
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Iterates of increasing linear operators, via Maia\u27s fixed point theorem [PDF]
, 2015 Let X be a Banach lattice. In this paper we give conditions in which an increasing linear operator, A : X ! X is weakly Picard operator (see I.A. Rus, Picard operators and applications, Sc. Math. Japonicae, 58(2003), No. 1, 191-219).
RUS, Ioan A.
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, 2004 This article is dedicated to the memory of my friend and collaborator, Yuri A bramovich.Abstract unavailable at this time... Mathematics Subject Classification (2000): 46B3, 46B10, 46B42, 46A55.Key words: Cones, bases for cones, quasi-interior points ...
Polyrakis, Ioannis A.
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Free Banach lattices under convexity conditions. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2022 Jardón-Sánchez H +4 more
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Bases for Cones and Reflexivity
, 2004 It is proved that a Banach space E is non-reflexive if and only if E has a closed cone with an unbounded, closed, dentable base. If E is a Banach lattice, the same characterization holds with the extra assumption that the cone is contained in E ...
Polyrakis, Ioannis A
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