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Operator inequalities, functional models and ergodicity

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0 Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.124984

Abstract: Abstract We discuss when an operator T, subject to a rather general inequality in hereditary form, admits a unitarily equivalent functional model of Agler type in the reproducing kernel Hilbert space associated to the inequality.… read more here.

Keywords: operator; inequalities functional; functional models; models ergodicity ... See more keywords

Separated spectra and operator inequalities

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0 Published in 2021 at "Hacettepe Journal of Mathematics and Statistics"

DOI: 10.15672/hujms.732183

Abstract: The main goal of this article is to show that many inequalities that are not valid in operator theory become true if we add a separation condition on the spectra. The applications include showing how… read more here.

Keywords: spectra operator; operator; separated spectra; operator inequalities ... See more keywords

Improving some operator inequalities for positive linear maps

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0 Published in 2018 at "Filomat"

DOI: 10.2298/fil1812333y

Abstract: Let 0 < mI ≤ A ≤ m′I ≤M′I ≤ B ≤MI and p ≥ 1. Then for every positive unital linear map Φ, Φ(A∇tB) ≤ ( K(h,2) 4 1 p −1(1+Q(t)(log M′ m′ )… read more here.

Keywords: inequalities positive; linear maps; improving operator; operator inequalities ... See more keywords

Some refinements of operator inequalities for positive linear maps

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1 Published in 2017 at "Journal of Mathematical Inequalities"

DOI: 10.7153/jmi-11-02

Abstract: In this paper, we refine some operator inequalities as follows: Let A , B be positive operators on a Hilbert space with 0 < m A m′ < M′ B M . Then for every… read more here.

Keywords: inequalities positive; linear maps; operator inequalities; refinements operator ... See more keywords