2,382 research outputs found
Spaceability in Banach and quasi-Banach sequence spaces
Let be a Banach space. We prove that, for a large class of Banach or
quasi-Banach spaces of -valued sequences, the sets , where is any subset of , and
contain closed infinite-dimensional subspaces of (if
non-empty, of course). This result is applied in several particular cases and
it is also shown that the same technique can be used to improve a result on the
existence of spaces formed by norm-attaining linear operators.Comment: 9 page
Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials
[EN] We draw a fundamental compendium of the most valuable results of the theory
of summing linear operators and detail those that are not shared by known multilinear and
polynomial extensions of absolutely summing linear operators. The lack of such results in the
theory of non-linear summing operators justifies the introduction of a class of polynomials
and multilinear operators that satisfies at once all related non-linear results. Surprisingly
enough, this class, defined by means of a summing inequality, happens to be the well known
ideal of composition with a summing operator.D. Pellegrino acknowledges with thanks the support of CNPq Grant 401735/2013-3-PVE (Linha 2)-Brazil. P. Rueda acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2011-22417. E. A. Sanchez Perez acknowledges with thanks the support of the Ministerio de Economia y Competitividad (Spain) MTM2012-36740-C02-02.Pellegrino, D.; Rueda, P.; Sánchez Pérez, EA. (2016). Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials. Revista de la Real Academia de Ciencias Exactas FÃsicas y Naturales Serie A Matemáticas. 110(1):285-302. https://doi.org/10.1007/s13398-015-0224-8S2853021101Achour, D., Dahia, E., Rueda, P., Sánchez-Pérez, E.A.: Factorization of absolutely continuous polynomials. J. Math. Anal. Appl. 405(1), 259–270 (2013)Albiac, F., Kalton, N.: Topics in Banac Space Theory. 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When is the Haar measure a Pietsch measure for nonlinear mappings?
We show that, as in the linear case, the normalized Haar measure on a compact
topological group is a Pietsch measure for nonlinear summing mappings on
closed translation invariant subspaces of . This answers a question posed
to the authors by J. Diestel. We also show that our result applies to several
well-studied classes of nonlinear summing mappings. In the final section some
problems are proposed
Lineability of the set of bounded linear non-absolutely summing operators
In this note we solve, except for extremely pathological cases, a question
posed by Puglisi and Seoane-Sepulveda on the lineability of the set of bounded
non-absolutely summing linear operators. We also show how the idea of the proof
can be adapted to several related situations.Comment: 7 page
Avaliação da resistência à ferrugem em progênies de cafeeiro F4 obtidas por cruzamentos de 'icatu' com catimor.
Com o objetivo de selecionar progênies de cafeeiro resistentes à ferrugem foram instalados e conduzidos experimentos em Três Pontas, São Sebastião do ParaÃso e Machado. Foram avaliadas 17 progênies desenvolvidas pelo programa de Melhoramento Genético do Cafeeiro em Minas Gerais, coordenado pela EPAMIG e obtidas pelo cruzamento ?Icatu? x Catimor, e a cultivar Rubi MG 1192 utilizada como testemunha. O delineamento foi o de blocos casualizados com três repetições. Foram analisadas as caracterÃsticas incidência da ferrugem no primeiro semestre de 2006.Os resultados obtidos permitem verificar que as progênies avaliadas apresentam variabilidade para a resistência a ferrugem, isso é confirmado pelas estimativas da herdabilidade que foram de boa magnitude, chegando até o valor de 92,8%. Essa condição aliada à baixa incidência da doença apresentada por algumas progênies, demonstrou que é possÃvel selecionar progênies superiores em relação à resistência a ferrugem na população estudada
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