arXiv subjects

Mohammad Hossein Alizadeh

Publications and source records attributed to Mohammad Hossein Alizadeh.

2 recordsLinked to original sources

arXiv2024

Generalized convex functions and their applications in optimality conditions

We introduce and study the notion of (e,y)-conjugate for a proper and e-convex function in locally convex spaces, which is an extension of the concept of the conjugate. The mutual relationships between the concepts of (e,y)-conjugacy and e-subdifferential are presented. Moreover, some applications of these notions in optimization are established.

math.FA↗

arXiv2019

Linear maps preserve the covariance sets

Let $\mathcal{A}$ and $\mathcal{B}$\ are $C^{\huge \ast}% $-algebras\textbf{.} A\textbf{ }linear map $ϕ:\mathcal{A\rightarrow B}$ is $C^{\ast}$-Jordan homomorphism if it is a Jordan homomorphism which preserves the adjoint operation. In this note we show that $C^{\ast}$-Jordan homomorphisms -- under mild assumptions -- preserving covariance set and covariance coset in $C^{\ast}$-algebras.

math.FA↗