Compact and finite-dimensional elements of normed algebras
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: Annales Academiae Scientiarum Fennicae Series A I Mathematica
سال: 1969
ISSN: 0066-1953
DOI: 10.5186/aasfm.1969.428