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Symplectic Linear Algebra
A symplectic structure on a smooth manifold is defined by assigning a symplectic form to the tangent space at each point of the manifold, with...
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Duality and Linear Operators
The aim of this chapter is to present the duality theory and to prove the fundamental theorems of the theory of locally convex spaces in a direct...
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Constructing the Maximum Prefix-Closed Subset for a Set of –ω-Words Defined by a –ω-Regular Expression
In this paper, we present a method of constructing the maximum prefix-closed subset of a set of – ω -words R defined by a – ω -regular expression. This...
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Asymptotic Control Theory for a Closed String. II
AbstractWe develop an asymptotic control theory for one of the simplest distributed (infinite-dimensional) oscillating systems, namely, for a closed...
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Well posedness for the Poisson problem on closed Lipschitz manifolds
We study the weak formulation of the Poisson problem on closed Lipschitz manifolds. Lipschitz manifolds do not admit tangent spaces everywhere and...
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Sufficient Conditions for Extended Spectral Decomposable Multi-Valued linear operators
In this paper, we develop the notion of spectral decomposability of a multi-valued linear operator (linear relation) in Banach spaces using subsets...
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Characterizing closed linear Weingarten spacelike submanifolds immersed in the de Sitter space
We obtain a sharp integral inequality involving the norm of the total umbilicity tensor of a closed linear Weingarten spacelike submanifold
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Generalized inverses of multivalued linear operators
Let A be a relatively regular linear relation defined on a Banach space X . In this paper, characterizations of some classes of relatively regular...
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Continuous Linear Maps
The continuous linear maps, or operators, are those functions that preserve the structure of normed spaces. They are generalizations of matrices....
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A Study on Linear Prabhakar Fractional Systems with Variable Coefficients
The focus of this paper is on addressing the initial value problem related to linear systems of fractional differential equations characterized by...
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Linear Optimization by Conical Projection
This article focuses on numerical efficiency of projection algorithms for solving linear optimization problems. The theoretical foundation for this...
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An equivalent formulation of 0-closed sesquilinear forms
In 1970, McIntosh introduced the so-called 0-closed sesquilinear forms and proved a corresponding representation theorem. In this paper, we give a...
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Linear Disjointness
This chapter centers around the notion of linear disjointness of fields. We use this notion to define separable, regular, and primary extensions of...
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Dominating Ideals and Closed Neighborhood Ideals of Graphs
We study the closed neighborhood ideals and the dominating ideals of graphs, in particular, some classes of trees and cycles. We prove that the...
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Non-separable linear canonical wave packet transform
We introduce the continuous and discrete versions of multi-dimensional linear canonical wave packet transform with the non-separable kernel. At...
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Bounded Linear Maps
In this chapter, the exploration of advanced linear algebra and functional analysis concepts unfolds, beginning with the notion of bounded linear...
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Duality Method for Multidimensional Nonsmooth Constrained Linear Convex Stochastic Control
In this paper, we discuss a general multidimensional linear convex stochastic control problem with nondifferentiable objective function, control...
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Hilbert–Burch Linear Sections
This chapter takes an exception to the previous chapters in that the focus is on linear sections of...
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Spectral transformations and second kind polynomials associated with a hermitian linear functional
The aim of this paper is to analyze the relation between the Christoffel transformations in the framework of hermitian linear functionals and the...
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Non-integrally closed Kronecker function rings and integral domains with a unique minimal overring
It is well-known that an integrally closed domain D can be expressed as the intersection of its valuation overrings but, if D is not a Prüfer domain,...
