Cyclic properties of Volterra operator
نویسندگان
چکیده
منابع مشابه
The Volterra Operator
0 |f(s)|ds ≤ |t| ≤ 1. Therefore the image of Bp is (uniformly) bounded. By Arzela-Ascoli, V : L p[0, 1]→ C[0, 1] is compact. The preceeding argument does not go through when V acts on L1[0, 1]. In this case equicontinuity fails, as is demonstrated by the following family {fn} ⊂ B1: fn(s) = n1[0,1/n](s). This suffices to preclude compactness of V ; in particular, V fn has no Cauchy subsequence. ...
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L. Frachebourg, 1,2 P. L. Krapivsky, 3,1 and E. Ben-Naim Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215 Laboratoire de Physique Statistique, ENS, 24 rue Lhomond, 75231 Paris Cedex 05, France Courant Institute of Mathematical Sciences, New York University, New York, New York 10012-1185 The James Franck Institute, The University of Chicago, Ch...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2003
ISSN: 0030-8730
DOI: 10.2140/pjm.2003.211.157