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Continuous Operators
Though we have insisted in the pivotal rule played historically by the Calculus of Variations in the initial steps of Functional Analysis as a...
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Pareto vectors of continuous linear operators
The intersection of all zero-neighborhoods in a topological module over a topological ring is a bounded and closed submodule whose inherited topology...
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INVESTIGATION OF DEMI-ab CONTINUOUS OPERATORS
In this paper, we define the class of demi ab -continuous operators on Banach lattices where a and b are given as n , w , o , ru , uo , un , and uaw . The...
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Strongly Continuous Resolving Families of Operators for Equations with a Fractional Derivative
AbstractUnder Hille–Yosida type conditions for a closed operator in a linear homogeneous equation with the Gerasimov–Caputo derivative a strongly...
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Iterates of Monotone and Sublinear Operators on Spaces of Continuous Functions
In this paper we extend some results concerning approximation by iterates of positive and linear operators defined on spaces of continuous functions,...
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Singular continuous phase for Schrödinger operators over circle maps
We consider a class of Schrödinger operators—referred to as Schrödinger operators over circle maps—that generalize one-frequency quasiperiodic...
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Approximation with continuous functions preserving fractal dimensions of the Riemann-Liouville operators of fractional calculus
In this paper, we mainly make research on the approximation of continuous functions in the view of the fractal structure based on previous studies....
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The Property (D) and the Almost Limited Completely Continuous Operators
In this paper, we study some geometric properties in Banach lattices and the class of almost limited completely continuous operators. For example, we...
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Existence Theorems for Parameter Dependent Weakly Continuous Operators with Applications
The paper presents results on the solvability and parameter dependence for problems driven by weakly continuous potential operators with continuously...
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An Example of Embedded Singular Continuous Spectrum for Discrete Schrödinger Operators
We present an example of a potential such that the corresponding discrete Schrödinger operator has singular continuous spectrum embedded in the...
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Fast Continuous Dynamics Inside the Graph of Maximally Monotone Operators
In a Hilbert framework, we introduce a new class of fast continuous dissipative dynamical systems for approximating zeroes of an arbitrary maximally...
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On the Algebra Generated by Volterra Integral Operators with Homogeneous Kernels and Continuous Coefficients
We consider Volterra multidimensional integral operators with continuous coefficients in Lebesgue spaces. The kernel of an integral operator is...
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Inverse Operators
Notions of algebraic inverse operator and continuously invertible operator are studied. Criterion of continuous invertibility is formulated. Problems...
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Continuous/Discontinuous Galerkin Difference Discretizations of High-Order Differential Operators
We develop continuous/discontinuous discretizations for high-order differential operators using the Galerkin Difference approach. Grid dispersion...
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Approximation of continuous functions given on the real axis by three-harmonic Poisson operators
Approximation properties of three-harmonic Poisson operators on the classes of ( ψ , β )-differentiable functions of low smoothness given on the real...
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On compositions of special cases of Lipschitz continuous operators
Many iterative optimization algorithms involve compositions of special cases of Lipschitz continuous operators, namely firmly nonexpansive, averaged,...
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Regularity of Continuous Multilinear Operators and Homogeneous Polynomials
AbstractRegular multilinear operators and regular homogeneous polynomials acting between Banach lattices are automatically continuous, but the...
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Bounded Linear Operators
We consider the notions of linear, continuous and bounded operator. For linear bounded operator the norm is introduced. The problems are devoted to...