Search results for: Maria A. Japón

Items from 1 to 10 out of 10 results

article

Linearly and directionally bounded weak-star closed sets and the AFPP

Tomás Domínguez Benavides, Maria A. Japón, Jeimer Villada Bedoya

Israel Journal of Mathematics > 2019 > 230 > 2 > 509-526

Linearly bounded and directionally bounded closed convex sets play a very relevant role in metric fixed point theory [12, 14, 16]. In reflexive spaces both collections of sets are identical and this fact characterizes the reflexivity of the space [14, 16]. Since closed convex sets are weakstar closed in reflexive spaces, it is natural to ask about the relationship between linearly bounded and directionally...

article

The τ-fixed point property for left reversible semigroups

Francisco E Castillo-Santos, Maria A Japón

Fixed Point Theory and Applications > 2015 > 2015 > 1 > 1-19

In this article we use the generalized Gossez-Lami Dozo property and the Opial condition to study the fixed point property for left reversible semigroups in separable Banach spaces. As a consequence, some previous results will be deduced and new examples of Banach spaces satisfying the fixed point property for left reversible semigroups are shown. We will also extend some previous theorems when we...

article

Second dual projection characterizations of three classes of L0-closed, convex, bounded sets in L1: Non-commutative generalizations

Maria A. Japón, Chris Lennard, Narcisse Randrianantoanina

Journal of Mathematical Analysis and Applications > 2014 > 409 > 1 > 13-27

We provide characterizations of convex, compact for the topology of local convergence in measure subsets of non-commutative L1-spaces previously considered for classical L1-spaces. More precisely, if M is a semifinite and σ-finite von Neumann algebra equipped with a distinguished semifinite faithful normal trace τ, P:M∗→L1(M,τ) is the non-commutative Yosida–Hewitt projection, and C is a norm bounded...

article

Renormings failing to have asymptotically isometric copies of ℓ1 or c0

Carlos A. Hernández-Linares, Maria A. Japón, Chris Lennard

Nonlinear Analysis > 2013 > 77 > Complete > 112-117

It is proved that every equivalent norm in ℓ1 is the starting point of a ray of norms which fail to have an asymptotically isometric copy of ℓ1. In the case where X is separable, it is proved that the set of all equivalent norms in X which fail to have an asymptotically isometric copy of ℓ1 is residual. Similar results are obtained for the case of c0. In particular, we deduce that every separable...

article

Renormings and fixed point property in non-commutative L1-spaces II: Affine mappings

Carlos A. Hernández-Linares, Maria A. Japón

Nonlinear Analysis > 2012 > 75 > 13 > 5357-5361

In this paper, we prove that every noncommutative L1-space associated to a finite von Neumann algebra can be renormed to satisfy the fixed point property for nonexpansive affine mappings. Particular examples are L1(R), where R is the hyperfinite II1 factor and the function spaces L1[0,1] and L1(μ) for any σ-finite measure space. This property does not hold for the usual ‖⋅‖1 norm.

article

On the structure of the set of equivalent norms on ℓ1 with the fixed point property

Carlos A. Hernández Linares, María A. Japón, Enrique Llorens-Fuster

Journal of Mathematical Analysis and Applications > 2012 > 387 > 2 > 645-654

Let A be the set of all equivalent norms on ℓ1 which satisfy the FPP. We prove that A contains rays. In fact, every renorming in ℓ1 which verifies condition (⁎) in Theorem 2.1 is the starting point of a (closed or open) ray composed by equivalent norms on ℓ1 with the FPP. The standard norm ‖⋅‖1 or P.K. Linʼs norm defined in Lin (2008) [12] are examples of such norms. Moreover, we study some topological...

article

Renormings and the fixed point property in non-commutative L1-spaces

Carlos A. Hernández-Linares, Maria A. Japón

Nonlinear Analysis > 2011 > 74 > 10 > 3091-3098

Let M be a finite von Neumann algebra. It is known that L1(M) and every non-reflexive subspace of L1(M) fail to have the fixed point property for non-expansive mappings (FPP). We prove a new fixed point theorem for this class of mappings in non-commutative L1(M) Banach spaces which lets us obtain a sufficient condition such that a closed subspace of L1(M) can be renormed to satisfy the FPP. As a consequence,...

article

A renorming in some Banach spaces with applications to fixed point theory

Carlos A. Hernandez Linares, Maria A. Japon

Journal of Functional Analysis > 2010 > 258 > 10 > 3452-3468

We consider a Banach space X endowed with a linear topology τ and a family of seminorms {Rk(⋅)} which satisfy some special conditions. We define an equivalent norm ⦀⋅⦀ on X such that if C is a convex bounded closed subset of (X,⦀⋅⦀) which is τ-relatively sequentially compact, then every nonexpansive mapping T:C→C has a fixed point. As a consequence, we prove that, if G is a separable compact group,...

article

Second dual projection characterizations of three classes of L0-closed, convex, bounded sets in L1

Maria A. Japón Pineda, Chris Lennard

Journal of Mathematical Analysis and Applications > 2008 > 342 > 1 > 1-16

Let τλ be the topology of convergence locally in measure on L1=L1(λ) and P be the Yosida–Hewitt projection from L1∗∗ onto L1. We characterize convex, τλ-compact subsets C of L1 as precisely those for which P is a compactness preserving map from C¯w∗ with the weak∗-topology to C with the τλ-topology. We further show that a convex, τλ-closed, L1-norm bounded subset C of L1 is a Schur set if and only...

article

Fixed-point theorems for asymptotically regular mappings in Orlicz function spaces

Tomás Domı́nguez Benavides, Maria A. Japón Pineda

Nonlinear Analysis > 2001 > 44 > 6 > 829-842

Filter options

Publication date

Set your own date range

Keywords

NONEXPANSIVE MAPPINGS (6)
RENORMING THEORY (6)
FIXED POINT THEORY (5)
CONVEX SETS (2)
NON-COMMUTATIVE L1-SPACES (2)
VON NEUMANN ALGEBRAS (2)
1-STRONG SCHUR PROPERTY (1)
AFFINE MAPPINGS (1)
ASYMPTOTICALLY ISOMETRIC COPIES (1)
ASYMPTOTICALLY REGULAR MAPPINGS (1)
CONVERGENCE IN MEASURE (1)
CONVERGENCE IN MEASURE COMPACT SETS (1)
CONVERGENCE LOCALLY IN MEASURE (1)
FIXED POINT (1)
FIXED POINT PROPERTY (1)
FOURIER ALGEBRAS (1)
FOURIER–STIELTJES ALGEBRA (1)
LEBESGUE FUNCTION SPACES (1)
LOCAL CONVERGENCE IN MEASURE (1)
M-IDEAL (1)
MEASURE TOPOLOGY (1)
NON-COMMUTATIVE LP-SPACES (1)
NON-EXPANSIVE MAPPINGS (1)
ORLICZ FUNCTION SPACES (1)
ORLICZ SPACES (1)
PURELY FINITELY ADDITIVE MEASURES (1)
RESIDUAL SETS (1)
SCHAUDER BASIS (1)
SCHUR PROPERTY (1)
SCHUR SETS (1)
SECOND DUAL SPACE (1)
SEQUENTIALLY SEPARATING NORMS (1)
STABILITY (1)
TOPOLOGY OF CONVERGENCE LOCALLY IN MEASURE (1)
VON-NEUMANN ALGEBRAS (1)
WEAK-STAR TOPOLOGY (1)
YOSIDA–HEWITT PROJECTION (1)
YOSIDA–HEWITT PROJECTIONS (1)
more

Data set

Elsevier (8)
Springer (2)

INFONA - science communication portal

Search results for: Maria A. Japón

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Keywords

Data set

Journal

Reporting an error / abuse

Sending the report failed

Accessibility options