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Local monotonicity structure of symmetric spaces with applications

✍ Scribed by Ciesielski, Maciej; Kolwicz, Paweł; Panfil, Agata

Book ID
121295775
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
474 KB
Volume
409
Category
Article
ISSN
0022-247X

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✍ Troy L. Hicks; B.E. Rhoades 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 110 KB 👁 1 views

Deÿnitions 2-5. Let (X; d) be a symmetric space. (2) (X; d) is S-complete if for every d-Cauchy sequence {x n }, there exists x in X with lim d(x n ; x) = 0. (3) (X; d) is d-Cauchy complete if for every d-Cauchy sequence {x n }, there exists x in X with lim x n = x with respect to t(d). Deÿnition