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Measure of non-compactness and limiting interpolation with slowly varying functions
We give estimates for the measure of non-compactness of an operator interpolated by the limiting methods involving slowly varying functions. As...
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Fixed Point Results for Condensing Operators via Measure of Non-Compactness
AbstractIn this paper, we prove some fixed point theorems for condensing operators in the setting of Banach spaces via measure of non-compactness,...
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New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations
In this paper, Darbo’s fixed point theorem is generalized and it is applied to find the existence of solution of a fractional integral equation...
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Measure-operator convolutions and applications to mixed-state Gabor multipliers
For the Weyl-Heisenberg group, convolutions between functions and operators were defined by Werner as a part of a framework called quantum harmonic...
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When is an operator S an analytic function of an operator T ?
We give necessary and sufficient conditions for an operator S on a Banach space to be an analytic function of a non-algebraic operator T . We extend...
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Maximal Non-compactness of Sobolev Embeddings
It has been known that sharp Sobolev embeddings into weak Lebesgue spaces are non-compact but the question of whether the measure of non-compactness...
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Local Fractional Calculus to Design the Growth System of Covid-19 Using Measure of Non-compactness
In this chapter, we use the concept of local fractional calculus and measure of non-compactness to design the growth system of Covid-19. To achieve...
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Non-commutative analogues of weak compactness criteria in symmetric spaces
The aim of this work is to study M. Nowak’s and K. M. Chong’s weak compactness criteria in non-commutative Orlicz spaces. In addition, we obtain a...
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Continuity of the non-convex play operator in the space of rectifiable curves
We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV -norm and...
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Existence of local fractional integral equation via a measure of non-compactness with monotone property on Banach spaces
In this paper, we discuss fixed point theorems for a new χ -set contraction condition in partially ordered Banach spaces, whose positive cone
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Products of composition operator and differentiation operator of order n on the Hardy space
We consider the products of composition operator and differentiation operator of order n on the Hardy space. We provide a complete characterization...
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Operator Theory
This section provides a very brief and quick review of the basics of Hilbert space theory and functional analysis that are needed for this text. We...