Email this article An Inequality for Projections and Convex Functions
- Authors: Abed S.A.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 39, No 9 (2018)
- Pages: 1287-1292
- Section: Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
- URL: https://journals.rcsi.science/1995-0802/article/view/203225
- DOI: https://doi.org/10.1134/S1995080218090214
- ID: 203225
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Abstract
We propose the conditions for a continuous function to be projection-convex, i.e. f(λp+ (1 − λ)q) ≤ λf(p) + (1 − λ)f(q) for any projections p and q and any real λ ∈ (0, 1). Also we obtain the characterization of projections commutativity and the characterization of trace in terms of equalities for non-flat functions.
About the authors
Sami Abdullah Abed
Kazan (Volga Region) Federal University
Author for correspondence.
Email: samialbarkish@gmail.com
Russian Federation, ul. Kremlevskaya 18, Kazan, Tatarstan, 420008
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