M-dissipative-operator
From Encyclopedia of Mathematics
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: http://encyclopediaofmath.org/index.php?title=M-dissipative-operator&oldid=11944
M-dissipative-operator. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=M-dissipative-operator&oldid=11944
This article was adapted from an original article by A.G. Kartsatos (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article