Polynomial algebras and smooth functions in Banach spaces
نویسندگان
چکیده
منابع مشابه
Polynomial algebras on classical Banach spaces
The classical Stone-Weierstrass theorem claims that the algebra of all real polynomials on a finite-dimensional real Banach space X is dense, in the topology of uniform convergence on bounded sets (we will always consider this topology, unless otherwise stated), in the space of continuous real functions on X. On the other hand ([12]), on every infinite-dimensional Banach space X there exists a ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2014
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2013.11.017