Proceedings of the American Mathematical Society, 2004-09, Vol.132 (9), p.2799-2807
2004
Details
- Autor(en) / Beteiligte
- Titel
- On simultaneous linear extensions of partial (pseudo)metrics
- Ist Teil von
- Proceedings of the American Mathematical Society, 2004-09, Vol.132 (9), p.2799-2807
- Ort / Verlag
- Providence, RI: American Mathematical Society
- Erscheinungsjahr
- 2004
- Link zum Volltext
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- We consider the question of simultaneous extension of (pseudo)\linebreak metrics defined on nonempty closed subsets of a compact metrizable space. The main result is a counterpart of the result due to Künzi and Shapiro for the case of extension operators of partial continuous functions and includes, as a special case, Banakh's theorem on linear regular operators extending (pseudo)metrics.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0002-9939eISSN: 1088-6826DOI: 10.1090/S0002-9939-04-07413-1Titel-ID: cdi_crossref_primary_10_1090_S0002_9939_04_07413_1
- Format
- –
- Schlagworte
- Continuous functions, Exact sciences and technology, General mathematics, General, history and biography, Homeomorphism, Linear transformations, Mathematical analysis, Mathematical functions, Mathematical theorems, Mathematics, Metrizable spaces, Operator theory, Sciences and techniques of general use, Special functions, Topological compactness, Topological spaces, Topological theorems