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Multipliers For A Quotient Banach Space And The Nevanlinna-Pick Theorem
Title: | Multipliers For A Quotient Banach Space And The Nevanlinna-Pick Theorem |
Authors: | Nakazi, Takahiko Browse this author |
Keywords: | quotient Bahach space | multiplier | Nevanlinna-Pick theorem | Hardy space |
Issue Date: | 2008 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 895 |
Start Page: | [1] |
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). |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69704 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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