Regular bases in products of power series spaces

Autor: Ed Dubinsky, L Crone, William B. Robinson
Rok vydání: 1977
Předmět:
Zdroj: Journal of Functional Analysis. 24:211-222
ISSN: 0022-1236
DOI: 10.1016/0022-1236(77)90053-2
Popis: We prove that Λ ∞ ( α ) × Λ 1 ( β ) has a regular basis iff Λ ∞ ( α ) ⊗ Λ 1 ( β ) has a regular basis iff Λ ∞ ( α ) ⊗ Λ 1 ( β ) is isomorphic to a Cartesian product of two power series spaces. We give a simple condition on α, β which determines when these equivalent statements hold.
Databáze: OpenAIRE