A MONOMIAL BASIS FOR THE HOLOMORPHIC FUNCTIONS ON c(0)

作者：Dineen Sean^*; Mujica Jorge

来源：Proceedings of the American Mathematical Society, 2013, 141(5): 1663-1672.

• Holomorphic function
• Schauder basis
• monomial

For over thirty years it has been known that the monomials form a basis for the n-homogeneous polynomials on certain infinite dimensional Banach spaces. Recently, Defant and Kalton have shown that these are never unconditional. In this article we show that the monomials form a basis for both the holomorphic functions and the holomorphic functions of bounded type on c(0), both with their natural topologies.

• 出版日期2013-5