2017•Studia MathematicaOpen access

Duality results in Banach and quasi-Banach spaces of homogeneous polynomials and applications

Vinícius V. Fávaro, Daniel Marinho Pellegrino

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Abstract

Spaces of homogeneous polynomials on a Banach space are frequently equipped with quasi-norms instead of norms. In this paper we extend a technique to replace the original quasi-norm by a norm in a dual preserving way, in the sense that the dual of the spa

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Spaces of homogeneous polynomials on a Banach space are frequently equipped with quasi-norms instead of norms. In this paper we extend a technique to replace the original quasi-norm by a norm in a dual preserving way, in the sense that the dual of the spa

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Available abstract

Spaces of homogeneous polynomials on a Banach space are frequently equipped with quasi-norms instead of norms. In this paper we extend a technique to replace the original quasi-norm by a norm in a dual preserving way, in the sense that the dual of the spa

Key concepts: Mathematics, Duality (order theory), Banach space, Norm (philosophy), Homogeneous, Dual norm, Pure mathematics, Dual (grammatical number)

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