The 𝑉₀ property in Banach Lattices

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Abstract

Order weakly compact and order unconditionally converging operators are consider on the setting of Banach latices. In this paper we characterize the class of Banach lattices on which o-weakly compact operators on it are order unconditionally converging operators. Two class of Banach having the V0 property is showing. We also consider the spaces E on which every âŽ¸ðœŽ ⎸(E”², E)-convergent sequences on E”² are ðœŽ(E”², E”³) -convergent.

  • José Sánchez Henriquez Departamento de Matemática, Facultad de Ciencias, Universidad de Concepción. Casilla 3-C. Cencepción.
  • Pages: 31-35
  • Date Published: 1992-12-01
  • No. 8 (1992): CUBO, Revista de Matemática

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Published

1992-12-01

How to Cite

[1]
J. Sánchez Henriquez, “The 𝑉₀ property in Banach Lattices”, CUBO, no. 8, pp. 31–35, Dec. 1992.

Issue

No. 8 (1992): CUBO, Revista de Matemática

Section

Articles