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On reversing of the modified Young inequality

, 2014
In the present paper, by Haagerup theorem, we show that if A ∈ Mn is a non scalar strictly positive matrix and 0 ‖νAX + (1− ν)XA‖. Department of Mathematics, Shahid Bahonar University, Kerman, Iran.
A. Salemi, A. Hosseini
semanticscholar   +1 more source

A proof of a conjecture on monotonic behavior of the largest eigenvalue of a number-theoretic matrix

, 2015
In this study we investigate the monotonic behavior of the largest eigenvalue of the n×n matrix EnTEn, where the i j− entry of En is 1 if j|i and 0 otherwise and hence we present a proof of a part of the Mattila-Haukkanen conjecture [16]. MSC2010. 15A18,
E. Altınışık, Ş. Büyükköse
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Optimal Constants in the Theory of Sobolev Spaces and PDEs

, 2010
Recent research activities on sharp constants and optimal inequalities have shown their impact on a deeper understanding of geometric, analytical and other phenomena in the context of partial differential equations and mathematical physics.
A. Cianchi, M. Esteban, B. Kawohl
semanticscholar   +1 more source

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