Stability and convergence of extension schemes to continuous functions in general metric spaces

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 1, 1996, Pages 274-285

  Le Gruyer, E ^a   Archer, J C ^a  

^a INSA DE RENNES   (France)

Author keywords

Convergence; Extension of functionals; Stability

Indexed keywords

EID: 0030541752     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614109325565X     Document Type: Article

References (8)

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3. J. DUGUNDJI, An extension of Tietze's theorem, Pacific J. Math., 1 (1951), pp. 353-367.
4. G. GLAESER, Etude de quelques algèbres tayloriennes, J. Anal. Math. Jerusalem, 6 (1958), pp. 1-124.
5. E. J. MC SHANE, Extension of range of functions, Bull. Amer. Math. Soc., 40 (1934), pp. 837-842.
6. A. H. STONE, Paracompactness and product spaces, Bull. Amer. Math. Soc., 54 (1948), pp. 969-977.
7. F. A. VALENTINE, On the extension of a vector function so as to preserve a Lipschitz condition, Bull. Amer. Math. Soc., 49 (1943), pp. 100-108.
8. H. WHITNEY, Analytic extensions of differentiable functions defined in closed sets, Trans. Amer. Math. Soc., 36 (1934), pp. 63-89.