Let a be a positive element in a unital C∗-algebra A. We define a semi-norm on A, which
generalizes the a-operator semi-norm and the a-numerical radius. We investigate the basic …

A note on the A-spectrum of A-bounded operators Page 1 Operators and Matrices Volume
17, Number 3 (2023), 599–611 doi:10.7153/oam-2023-17-40 A NOTE ON THE A–SPECTRUM …

Refinements of the Cauchy–Schwarz inequality in pre-Hilbert $$C^*$$ -modules and their
applications | Annals of Functional Analysis Skip to main content SpringerLink Account Menu …

For a positive element A of a C∗-algebra A, let‖ X‖ A denote the A-operator semi-norm of
X∈ A. In this paper, we aim to introduce and study the notion of A-spectrum for X, such …

Let $\mathcal {A} $ be a unital $\mathbf {C}^* $-algebra with unit $ e $. We develop several
inequalities for a positive linear functional $ f $ on $\mathcal {A} $ and obtain several …

arXiv:2405.16212v1 [math.OA] 25 May 2024 Page 1 arXiv:2405.16212v1 [math.OA] 25 May
2024 NEW ESTIMATES FOR NUMERICAL RADIUS IN C∗-ALGEBRAS ALI ZAMANI Abstract …

Let A be a unital C∗-algebra with unit 1 A and let a∈ A be a positive and invertible element.
Suppose that S (A) is the set of all states on A and let S a (A)= ff (a): f∈ S (A), f (a)≠ 0. The …

Let M be a von Neumann algebra. For a nonzero positive element A∈ M, let P denote the
orthogonal projection on the norm closure of the range of A and let σ A (T) denote the A …

We firstly define a seminorm on the space of bounded linear operators on a Hilbert space,
which generalizes the numerical radius norm. We investigate basic properties of this …