458 research outputs found
On minimal norms on
In this note, we show that for each minimal norm on the algebra
of all complex matrices, there exist norms and
on such that for all . This may be regarded as an
extension of a known result on characterization of minimal algebra norms.Comment: 4 pages, to appear in Abstract and Applied Analysi
Comportamento de híbridos de milho no Nordeste Brasileiro: safra 2009/2010.
O presente trabalho teve por objetivo conhecer o comportamento de diversos híbridos simples de milho quando submetido a diferentes condições ambientais do Nordeste brasileiro, para fins de recomendação. Os ensaios foram realizados no ano agrícola de 2009/2010 e foram avaliados utilizando-se o delineamento experimental em blocos ao acaso com duas repetições. Detectaram-se diferenças significativas entre os híbridos, os ambientes e inconsistência no comportamento dos híbridos na média dos ambientes quanto às características alturas e planta e de espigas, estande de colheita, número de espigas colhidas e rendimento de grãos. Os híbridos com rendimentos médios acima da média geral mostraram melhor adaptação, destacando-se, entre eles, os DKB 399, 30 A 86 HX, 2 B 707 HX, 2 B 604 HX, 30 A 91HX e 30 A 70, com produtividades médias entre 9452 kg/ha a 9175 kg/ha, constituindo-se em excelentes opções para a agricultura regional
SOME RESULTS ON OPERATORS CONSISTENT IN INVERTIBILITY
In this paper, we investigate the conditions under which some classes of operators in a complex Hilbert space H are said to be consistent in invertibility. AMS subject classification: 47B47, 47A30, 47B20 Keywords and phrases: Quasi-invertibility, Consistent in Invertibility, Quasinormal, Projection
Schatten p-norm inequalities related to a characterization of inner product spaces
Let be operators acting on a separable complex Hilbert space
such that . It is shown that if belong to a
Schatten -class, for some , then 2^{p/2}n^{p-1} \sum_{i=1}^n
\|A_i\|^p_p \leq \sum_{i,j=1}^n\|A_i\pm A_j\|^p_p for , and the
reverse inequality holds for . Moreover, \sum_{i,j=1}^n\|A_i\pm
A_j\|^2_p \leq 2n^{2/p} \sum_{i=1}^n \|A_i\|^2_p for , and the
reverse inequality holds for . These inequalities are related
to a characterization of inner product spaces due to E.R. Lorch.Comment: Minor revision, to appear in Math. Inequal. Appl. (MIA
On a decomposition lemma for positive semi-definite block-matrices
This short note, in part of expository nature, points out several new or
recent consequences of a quite nice decomposition for positive semi-definite
matrices
Generalized Derivations and Norm Equality in Normed Ideals
2000 Mathematics Subject Classification: 47A10, 47A12, 47A30, 47B10, 47B20, 47B37, 47B47, 47D50.We compare the norm of a generalized derivation on a Hilbert space with the norm of its restrictions to Schatten norm ideals
A concavity inequality for symmetric norms
We review some convexity inequalities for Hermitian matrices an add one more
to the list.Comment: accepted in LA
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