Record Details
On the pointwise convergence of certain inductively defined sequences of functions
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | On the pointwise convergence of certain inductively defined sequences of functions |
| Names |
Seethoff, Terrance Lee
(creator) Arnold, B. H. (advisor) |
| Date Issued | 1966-04-21 (iso8601) |
| Note | Graduation date: 1966 |
| Abstract | In this paper we suppose that {f[subscript n]}[subscript n ε N] is a countable family of mappings of a topological space into itself and investigate the pointwise convergence of the sequence <F[subscript n]> defined by either F₁ = f₁, F[subscript n]₊₁ = f[subscript n]₊₁°F[subscript n] n = 1, 2, 3, ... or F₁ = f₁, F[subscript n]₊₁ = F[subscript n]₊₁°f[subscript n]₊₁ n = 1, 2, 3, ... The families {f[subscript n]}[subscript n ε N] considered have been chosen in a manner so as to include a study of iteration schemes, infinite products, infinite series and infinite continued fractions. |
| Genre | Thesis/Dissertation |
| Topic | Linear topological spaces |
| Identifier | http://hdl.handle.net/1957/47733 |
