Normed algebras of differentiable functions on compact plane sets
نویسندگان
چکیده
منابع مشابه
Normed Algebras of Differentiable Functions on Compact Plane Sets
We investigate the completeness and completions of the normed algebras (D(1)(X), ‖ · ‖) for perfect, compact plane sets X. In particular, we construct a radially self-absorbing, compact plane set X such that the normed algebra (D(1)(X), ‖ · ‖) is not complete. This solves a question of Bland and Feinstein. We also prove that there are several classes of connected, compact plane sets X for which...
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ژورنال
عنوان ژورنال: Indian Journal of Pure and Applied Mathematics
سال: 2010
ISSN: 0019-5588,0975-7465
DOI: 10.1007/s13226-010-0005-1