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20142020
most citedOn the upper bounds for the constants of the Hardy-Littlewood inequality

31 citations · 41 across the 5 of their papers we have counts for

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5 papers

math.RA2020

2-graded polynomial identities for the Jordan algebra of the symmetric matrices of order two

Plamen Koshlukov, Diogo Diniz P. S. Silva

The Jordan algebra of the symmetric matrices of order two over a field has two natural gradings by , the cyclic group of order 2. We describe the graded polynomia…

math.RA2015★ 10 cited

Graded identities of block-triangular matrices

Diogo Diniz Pereira da Silva e Silva, Thiago Castilho de Mello

Let be an infinite field and be the algebra of upper block-triangular matrices over . In this paper we describe a basis for the -graded polynomial id…

math.RA2014

Central Polynomials with Involution of

Diogo Diniz Pereira da Silva e Silva

Let be an infinite field of characteristic . In this article we study the -space of central polynomials with involution of the -algebra ,…

math.RA2014

Primeness property for central polynomials of verbally prime P.I. algebras

Diogo Diniz Pereira da Silva e Silva

Let and be two noncommutative polynomials in disjoint sets of variables. An algebra is verbally prime if whenever is an identity for then either or $…

math.FA2014★ 31 cited

On the upper bounds for the constants of the Hardy-Littlewood inequality

Gustavo Araujo, Daniel Pellegrino, Diogo D. P. Silva e Silva

The best known upper estimates for the constants of the Hardy--Littlewood inequality for -linear forms on spaces are of the form We pr…