Hadi Obaid Alshammari
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View article: Toral $(m,C)$-isometric multivariable operators
Toral $(m,C)$-isometric multivariable operators Open
In recent years, various aspects of the problem related to the generalization of the class of m -isometries of commuting tuples of operators in Hilbert spaces have appeared in the literature. Let us mention, for example, $(n_{1},\ldots ,n_…
View article: Extension of (m,C)-isometric commuting multi-operators
Extension of (m,C)-isometric commuting multi-operators Open
View article: A study of $ (m, q) $-isometric multimappings in the context of $ \mathcal{G} $-metric spaces
A study of $ (m, q) $-isometric multimappings in the context of $ \mathcal{G} $-metric spaces Open
This paper introduces and explores new concepts of $ (m, q) $-isometric multimappings in the context of extended metric structures. These newly defined concepts serve as extensions of the existing theory of $ (m, q) $-isometric multimappin…
View article: Higher order $(n,m)$-Drazin normal operators
Higher order $(n,m)$-Drazin normal operators Open
The purpose of this paper is to introduce and study the structure of p -tuple of $(n,m)$ - $\mathcal{D}$ -normal operators. This is a generalization of the class of p -tuple of n -normal operators. We consider a generalization of t…
View article: Optimal control problems governed by a class of nonlinear systems
Optimal control problems governed by a class of nonlinear systems Open
This article suggested a solution to a flow control problem governed by a class of nonlinear systems called bilinear systems. The problem was initially well-posed, and after it was established that an optimal control solution existed, its …
View article: Higher order hyperexpansivity and higher order hypercontractivity
Higher order hyperexpansivity and higher order hypercontractivity Open
As a natural extension of the concept of $ (m, p) $-hyperexpansive and $ (m, p) $-hypercontractive of a single operator, we introduce and study the concepts of $ (m, p) $-hyperexpansivity and $ (m, p) $-hypercontractivity for $ d $-tuple o…
View article: (m,∞)-expansive and (m,∞)-contractive commuting tuple of operators on a Banach space
(m,∞)-expansive and (m,∞)-contractive commuting tuple of operators on a Banach space Open
For a d-tuple of commuting operators S := (S1,..., Sd) ? B[X]d, m ? N and p ? (0,?), we define Q(p) m (S;u) := ? 0?k?m (-1)k (m k) (???Nd0 |?| = k k!/? ||S?u||p). As a natural extension of the concepts of (m,p)-expansive and (m,p)-contract…
View article: Extension of <i>m</i>‐Symmetric Hilbert Space Operators
Extension of <i>m</i>‐Symmetric Hilbert Space Operators Open
We introduce a new class of operators, which we will call the class of P ‐quasi‐ m ‐symmetric operators that includes m ‐symmetric operators and k ‐quasi m ‐symmetric operators. Some basic structural properties of this class of operators a…
View article: Interpolation by holomorphic maps from the disc to the tetrablock
Interpolation by holomorphic maps from the disc to the tetrablock Open