We investigate the notion of conditionally positive definite in the context of Hilbert $C^*$-modules and present a characterization of the conditionally positive definiteness in terms of the usual positive definiteness. ...

Ternary algebras and modules are vector spaces on which products of three factors

are defined. In this paper, we present several physical applications of ternary structures.

Some recent results on the stability ...

In this talk we present some operator Kantorovich inequalities

involving unital positive linear mappings and the operator geometric mean in

the setting of semi-inner product C*-modules. Using a unified approach, ...

In this talk, we study some operator and norm inequalities corresponding to some

classical numerical inequalities such as the Bohr, Gr uss, Cauchy{Schwarz, arithmeticgeometric

mean and Hermite{Hadamard ...

Let $(\\\\mathscr{H}, \\\\langle \\\\cdot,\\\\cdot\\\\rangle)$ be a complex Hilbert

space and $\\\\mathbb{B}(\\\\mathscr{H})$ denote the algebra of all

bounded linear operators on $\\\\mathscr{H}$ equipped ...

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We treat the behavior of operator monotone and operator convex functions on bounded and unbounded intervals with respect to the relation of

strict positivity. More precisely, we prove that if $f$ is a nonlinear ...