Dept. Math, Hokkaido Univ. EPrints Server

Multipliers For A Quotient Banach Space And The Nevanlinna-Pick Theorem

Preprint Series # 895
Nakazi, Takahiko Multipliers For A Quotient Banach Space And The Nevanlinna-Pick Theorem. (2008);

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Abstract

Let E be a Banach space on a set X and M(E) the space of multipliers of E. In this paper, we study the space of multipliers of the quotient space E/K where K is a closed M(E) - invariant subspace in E. When E is the classical Hilbert Hardy space, the Nevanlinna and Pick theorem shows M(E/K) is a quotient algebra of M(E).

Item Type:Preprint
Additional Information:16
Uncontrolled Keywords:quotient Bahach space, multiplier, Nevanlinna-Pick theorem, Hardy space
Subjects:47-xx OPERATOR THEORY
ID Code:1820