Abstract
AbstractFor a nonempty compact subset $$\sigma$$
σ
in the plane, the space $$AC(\sigma )$$
A
C
(
σ
)
is the closure of the space of complex polynomials in two real variables under a particular variation norm. In the classical setting, AC[0, 1] contains several other useful dense subsets, such as continuous piecewise linear functions, $$C^1$$
C
1
functions and Lipschitz functions. In this paper, we examine analogues of these results in this more general setting.
Funder
Department of Education and Training, Australian Government
University of New South Wales
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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