A Note on Locally Expansive and Locally Accretive Operators
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 228-232
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Let X be a Banach space, D an open subset of X and Y a complete metric space. Assume that Y is metrically convex. For closed, locally m-expansive and mapping open subsets of D onto open subsets of Y, is is shown that y ∊ T(D) if and only if there exists x 0 ∊ D such that d(Tx 0, y) ≤ d(Tx, y) for all x ≤ ∂D.
Torrejon, Ricardo. A Note on Locally Expansive and Locally Accretive Operators. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 228-232. doi: 10.4153/CMB-1983-036-5
@article{10_4153_CMB_1983_036_5,
author = {Torrejon, Ricardo},
title = {A {Note} on {Locally} {Expansive} and {Locally} {Accretive} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {228--232},
year = {1983},
volume = {26},
number = {2},
doi = {10.4153/CMB-1983-036-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-036-5/}
}
TY - JOUR AU - Torrejon, Ricardo TI - A Note on Locally Expansive and Locally Accretive Operators JO - Canadian mathematical bulletin PY - 1983 SP - 228 EP - 232 VL - 26 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-036-5/ DO - 10.4153/CMB-1983-036-5 ID - 10_4153_CMB_1983_036_5 ER -
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