Add to ORKGTwo new moduli are introduced to study the ratios of arc lengths to chord lengths in Banach spaces. Basic properties of those two moduli and the relation between them are studied. The relation between those two moduli and some geometric properties, including uniform convexity, uniform nonsquareness, and uniform normal structure, are discussed. Furthermore, some conditions implying fixed point property are presented.Quaestiones Mathematicae 33(2010), 347–36
AbstractLet X be a Banach space, X2 ⊆ X be a two-dimensional subspace of X, and S(X) = {x ϵ X, ‖x‖ =...
In this note we discuss a property in Minkowski planes related to the (intrinsic) arc length. Let A ...
none2We study a modulus, connected with smoothness of Banach spaces, already considered in the liter...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concer...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values conce...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concer...
A new geometry property and two new moduli are introduced in Banach space. First, the concept of loc...
Abstract We introduce a new coefficient as a generalization of the modulus of smoothness and Pythago...
We present two sufficient conditions for normal structure in a Banach space. The first one is given ...
Bana\u15b defined a modulus for Banach spaces which has appeared in the literature, but not studied ...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
AbstractWe present two sufficient conditions for normal structure in a Banach space. The first one i...
AbstractLet X be a Banach space, X2 ⊆ X be a two-dimensional subspace of X, and S(X) = {x ϵ X, ‖x‖ =...
In this note we discuss a property in Minkowski planes related to the (intrinsic) arc length. Let A ...
none2We study a modulus, connected with smoothness of Banach spaces, already considered in the liter...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concer...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values conce...
Banaś defined a modulus for Banach spaces which has appeared in the literature, but not studied in d...
We provide some properties of both moduli of convexity δ and β and derive some applications of the m...
We consider two Pythagorean modulus introduced by Gao (2005, 2006) recently. The exact values concer...
A new geometry property and two new moduli are introduced in Banach space. First, the concept of loc...
Abstract We introduce a new coefficient as a generalization of the modulus of smoothness and Pythago...
We present two sufficient conditions for normal structure in a Banach space. The first one is given ...
Bana\u15b defined a modulus for Banach spaces which has appeared in the literature, but not studied ...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
We study a modulus, connected with smoothness of Banach spaces, already considered in the literature...
AbstractWe present two sufficient conditions for normal structure in a Banach space. The first one i...
AbstractLet X be a Banach space, X2 ⊆ X be a two-dimensional subspace of X, and S(X) = {x ϵ X, ‖x‖ =...
In this note we discuss a property in Minkowski planes related to the (intrinsic) arc length. Let A ...
none2We study a modulus, connected with smoothness of Banach spaces, already considered in the liter...