ON EQUIVALENCE RELATIONS GENERATED BY SCHAUDER BASES.

In this article, a notion of Schauder equivalence relation ℝℕ/L is introduced, where L is a linear subspace of ℝℕ and the unit vectors form a Schauder basis of L. The main theorem is to show that the following conditions are equivalent:(1) the unit vector basis is boundedly complete;(2) L is a Fσ in...

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Publicado en:	Journal of Symbolic Logic Vol. 82; no. 4; pp. 1459 - 1482
Autor principal:	DING, LONGYUN
Formato:	Artículo
Publicado:	Cambridge University Press Dec2017
Materias:	Mathematical equivalence Schauder bases Functional analysis Model theory Algorithmic randomness Applied mathematics
Acceso en línea:	Ver este registro en EBSCOhost