An extension of fourier type to quasi-Banach spaces

1988 ◽  
pp. 171-176 ◽  
Author(s):  
Michael Cwikel ◽  
Yoram Sagher
Keyword(s):  
Banach Spaces ◽  
Fourier Type

scholarly journals Interpolation methods of constants and means with quasi-power function parameters

2001 ◽  
Vol 88 (1) ◽  
pp. 79 ◽  
Author(s):  
Ming Fan
Keyword(s):  
Banach Spaces ◽  
Orlicz Space ◽  
Power Function ◽  
Interpolation Methods ◽  
Fourier Type ◽  
Relationship Of ◽  
The Relationship ◽  
Complex Methods

The purpose of this paper is to describe the interpolation methods of constants and means with quasi-power function parameters in the sense of Brudnyi-Krugljak's K- and J-methods with the weighted Orlicz space parameters. As an application, the relationship of such methods with particular parameters and the complex methods for Banach spaces of Fourier type is sharpened.

Fredholm Theory in Banach Spaces

1986 ◽  
Author(s):  
Anthony Francis Ruston
Keyword(s):  
Banach Spaces ◽  
Fredholm Theory

Controllability for some nonlinear impulsive partial functional integrodifferential systems with infinite delay in Banach spaces

2020 ◽  
Vol 4 (2) ◽  
pp. 104-115
Author(s):  
Khalil Ezzinbi ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Integrodifferential Equation ◽  
Resolvent Operator ◽  
Measure Of Noncompactness ◽  
Infinite Delay ◽  
Sufficient Conditions ◽  
Mönch Fixed Point Theorem ◽  
The Resolvent Operator

This work concerns the study of the controllability for some impulsive partial functional integrodifferential equation with infinite delay in Banach spaces. We give sufficient conditions that ensure the controllability of the system by supposing that its undelayed part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point Theorem. As a result, we obtain a generalization of the work of K. Balachandran and R. Sakthivel (Journal of Mathematical Analysis and Applications, 255, 447-457, (2001)) and a host of important results in the literature, without assuming the compactness of the resolvent operator. An example is given for illustration.

Sign in / Sign up

Export Citation Format

Share Document