Weak norm inequalities for martingales and geometry of Banach spaces

2012 ◽  
Vol 82 (3) ◽  
pp. 411-418 ◽  
Author(s):  
Adam Osȩkowski
Keyword(s):  
Banach Spaces ◽  
Norm Inequalities ◽  
Weak Norm

scholarly journals General Norm Inequalities of Trapezoid Type for Fréchet Differentiable Functions in Banach Spaces

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1288
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Banach Spaces ◽  
Error Bounds ◽  
Norm Inequalities ◽  
Differentiable Functions ◽  
Fréchet Differentiable ◽  
General Norm

In this paper we establish some error bounds in approximating the integral by general trapezoid type rules for Fréchet differentiable functions with values in Banach spaces.

scholarly journals ORTHOGONALITY AND PARALLELISM OF OPERATORS ON VARIOUS BANACH SPACES

2018 ◽  
Vol 106 (2) ◽  
pp. 160-183 ◽  
Author(s):  
T. BOTTAZZI ◽  
C. CONDE ◽  
M. S. MOSLEHIAN ◽  
P. WÓJCIK ◽  
A. ZAMANI
Keyword(s):  
Banach Spaces ◽  
Compact Operators ◽  
Linear Operators ◽  
Identity Operator ◽  
Uniformly Convex ◽  
Bounded Linear Operators ◽  
Norm Inequalities ◽  
Bounded Linear ◽  
Uniformly Convex Spaces

We present some properties of orthogonality and relate them with support disjoint and norm inequalities in $p$-Schatten ideals. In addition, we investigate the problem of characterization of norm-parallelism for bounded linear operators. We consider the characterization of the norm-parallelism problem in $p$-Schatten ideals and locally uniformly convex spaces. Later on, we study the case when an operator is norm-parallel to the identity operator. Finally, we give some equivalence assertions about the norm-parallelism of compact operators. Some applications and generalizations are discussed for certain operators.

Sign in / Sign up

Export Citation Format

Share Document