Results 11 to 20 of about 349 (48)
Fixed Point Theory and Applications, 2014 In a recent paper Xie et al. (Fixed Point Theory Appl. 2013:192, 2013) gave several extensions and some applications of the Abian-Brown (AB) fixed point theorem.
Shravan Luckraz
semanticscholar +2 more sources
The ideal center of the dual of a Banach lattice [PDF]
, 2010 Let $E$ be a Banach lattice. Its ideal center $Z(E)$ is embedded naturally in the ideal center $Z(E')$ of its dual. The embedding may be extended to a contractive algebra and lattice homomorphism of $Z(E)"$ into $Z(E')$.
Orhon, Mehmet
core +1 more source
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
wiley +1 more source
Maurey-Rosenthal domination for abstract Banach lattices
Journal of Inequalities and Applications, 2013 We extend the Maurey-Rosenthal theorem on integral domination and factorization of p-concave operators from a p-convex Banach function space through Lp-spaces for the case of operators on abstract p-convex Banach lattices satisfying some essential ...
M. A. Juan, E. A. Sánchez Pérez
semanticscholar +2 more sources
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
On the block numerical range of operators on arbitrary Banach spaces
, 2018 We investigate the block numerical range of bounded linear operators on arbitrary Banach spaces. We show that the spectrum of an operator is always contained in the closure of its block numerical range.
Agnes Radl, M. Wolff
semanticscholar +1 more source
On the Representation of Orthogonally Additive Polynomials in $\ell_p$ [PDF]
, 2009 We present a new proof of a Sundaresan’s result which shows that the spaceof orthogonally additive polynomials P o ( k p ) is isometrically isomorphic to p/p−k if ...
Alberto Ibort, P. Linares, J. G. Llavona
semanticscholar +1 more source
Ideal-triangularizability and commutators of constant sign
, 2016 Let E be a Banach lattice with order continuous norm, and let A and B be positive compact operators such that the commutator AB−BA is also positive. We prove that if A and B are ideal-triangularizable, then they are simultaneously ideal-triangularizable,
R. Drnovšek, M. Kandić
semanticscholar +1 more source
Once More on Positive Commutators
, 2012 Let A and B be bounded operators on a Banach lattice E such that the commutator C=AB-BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of ...
Drnovšek, Roman
core +1 more source
On the ideal center of a dual vector lattice
, 2015 Let X be a vector lattice with order dual X′. In this paper, we investigate when Orth(X′) is an ideal center in X′. In [6], Toumi answers related question posed by Wickstead in [1]. This study is the dual version of the paper of Toumi in [6]. Mathematics
S. Ozcan, Ö. Gök
semanticscholar +1 more source