Spaceability and algebrability in the theory of domains of existence in Banach spaces

作者：Alves Thiago R^*

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2015, 109(2): 461-470.

DOI：10.1007/s13398-014-0191-5

• Banach space
• Holomorphic functions
• Domain of existence
• Spaceable
• Closely strongly algebrable
• Densely strongly algebrable

We show that if is a connected domain of existence in a separable Banach space, then the set of holomorphic functions on whose domain of existence is is closely strongly algebrable and densely strongly algebrable.

• 出版日期2015-9