We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
SOME RESULTS RELATED TO THE HEINZ INEQUALITY IN C*–ALGEBRA.
- Authors
SEDDIK, AMEUR
- Abstract
Let f, g be two continuous non-negative real-valued functions defined on the nonnegative half-line [0,∞) that satisfy the condition f(t)g(t) = t, for all t ≥ 0, and let P and Q denote two positive elements in an unital C*-algebra A . We shall show that the following model of inequality holds: ∀X ∈ A, ||f(P)Xg(Q)+g(P)Xf(Q)||≥2||P1/2 X Q1/2|| Through this model, we shall establish the universality of the Heinz operator norm inequality and related inequalities within the broad spectrum of any abstract unital C*-algebra.
- Subjects
C*-algebras; TRIANGULAR norms
- Publication
Mathematical Inequalities & Applications, 2024, Vol 27, Issue 1, p249
- ISSN
1331-4343
- Publication type
Article
- DOI
10.7153/mia-2024-27-19