Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Interpolation problem for l1 and a uniform algebra
Title: | Interpolation problem for l1 and a uniform algebra |
Authors: | Nakazi, T. Browse this author |
Keywords: | uniform algebra | l1 | interpolation | maximal ideal space | pseudo-hyperbolic distance |
Issue Date: | 1-Dec-2000 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 505 |
Start Page: | 1 |
End Page: | 12 |
Abstract: | Let A be a uniform algebra and M(A) the maximal ideal space of A. A sequence { an }n in M(A) is called .e1-interpolating if for every sequence (an) in f1 there exists a function f in A such that f (an ) = an for all n. In this paper, an f1-interpolating sequence is studied for an arbitrary uniform algebra. For some special uniform algebras, an f1-interpolating sequence is equivalent to an £<)()-interpolating sequence which is familiar for us. However, in general these two interpolating sequences may be different from each other. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69255 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
|
Submitter: 数学紀要登録作業用
|