M. Kian

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20242026

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math.FA2026

Fractional $k$ -positivity: a continuous refinement of the $k$ -positive scale

Mohsen Kian

We introduce a real-parameter refinement of the classical integer hierarchies underlying Schmidt number, block-positivity, and $k$ -positivity for maps between matrix algebras. Star…

math.FA2024

Matrix Inequalities between $f (A) I ¨ f (B)$ and $A I ¨ B$

Manisha Devi, Jaspal Singh Aujla, Mohsen Kian +1

Let $A$ and $B$ be $n \times n$ positive definite complex matrices, let $I ¨ $ be a matrix mean, and let $f : [0, \infty) \to [0, \infty)$ be a differentiable convex function with $f(0)…

Fractional k-positivity: a continuous refinement of the k-positive scale

Matrix Inequalities between f(A)I¨f(B) and AI¨B

Fractional $k$ -positivity: a continuous refinement of the $k$ -positive scale

Matrix Inequalities between $f (A) I ¨ f (B)$ and $A I ¨ B$