From Encyclopedia of Mathematics
Revision as of 16:57, 7 February 2011 by (talk) (Importing text file)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Let be a real Banach space with dual space and normalized duality mapping (cf. also Duality; Adjoint space). An operator is called dissipative if for every and every there exists a such that (cf. also Dissipative operator). A dissipative operator is called -dissipative if is surjective for all . Thus, an operator is dissipative (respectively, -dissipative) if and only if the operator is accretive (respectively, -accretive). For more information, see Accretive mapping and -accretive operator.

How to Cite This Entry:
M-dissipative-operator. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by A.G. Kartsatos (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article