Search
Search Results
-
Decomposability and local spectral properties of a normal linear relation
Our objective in this paper is to show that, similarly to the case of normal operators, a normal linear relation on a Hilbert space H satisfies...
-
Maximally Аccretive and Nonnegative Extensions of a Nonnegative Linear Relation
In terms of spaces of boundary values, we formulate and prove criteria of maximal θ-accretivity and maximal nonnegativity for the proper extension of...
-
An Index Theorem for Linear Relations and Its Applications to the Study of Block Relation Matrices
AbstractIn this paper, we aim to prove an index theorem for linear relations and apply it to study the invertibility and the essential invertibility...
-
On the relation between affinely adjustable robust linear complementarity and mixed-integer linear feasibility problems
We consider adjustable robust linear complementarity problems and extend the results of Biefel et al. (SIAM J Optim 32:152–172, 2022) towards convex...
-
On polynomials generated by a four-term recurrence relation and linear coefficients
This paper treats the properties of polynomials generated by a four-term recurrence relation and linear coefficients. From the eigenvalue theory, we...
-
Periodic linear groups in which permutability is a transitive relation
A PT -group is a group in which the relation of being a permutable subgroup is transitive. The main aim of this paper is to show that a (homomorphic...
-
Windowed linear canonical transform: its relation to windowed Fourier transform and uncertainty principles
The windowed linear canonical transform is a natural extension of the classical windowed Fourier transform using the linear canonical transform. In...
-
Linear Transformations
In this chapter, we delve deeply into a key concept of linear transformations which map between vector spaces in linear algebra. It begins with the...
-
The index of a linear relation under strictly singular perturbations
In this paper, we investigate the behaviour of the index of upper and lower semi-Fredholm multivalued linear operators in Banach spaces under...
-
Set Valued Equilibrium Problems Without Linear Structure
In this paper we give several existence results for solutions of equilibrium problems in topological spaces without linear structure. To this end we...
-
Linear Systems
This chapter deals with linear systems of ordinary differential equations (ODEs), both homogeneous and nonhomogeneous equations. Linear systems are...
-
Relationships between inessential, strictly singular, strictly cosingular and improjective linear relations
This paper is devoted to study the interrelations between inessential, improjective, strictly singular and strictly cosingular linear relations....
-
Vector-relation configurations and plabic graphs
We study a simple geometric model for local transformations of bipartite graphs. The state consists of a choice of a vector at each white vertex made...
-
Linear Spaces and Linear Map**s
Based on the mathematical preparations in the previous chapter, we will learn about a linear space, the stage on which linear algebra is played, and...
-
Left and right generalized Drazin–Riesz invertible multivalued linear operators
In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations are introduced and studied. For these classes of...
-
On Perturbation of Drazin Invertible Linear Relations
We study the problem of stability of regular, finite ascent, and finite descent linear relations defined in Banach spaces under commuting nilpotent...
-
Some results concerning the linear relations which are adjoint to each other
In order to study the stability of self-adjointness of a block linear relation matrix with unbounded entries acting in Hilbert spaces, we start by...
-
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...
-
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...
