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Criteria of Le page Type in Involutive Banach Algebras
Banach algebra Commutativity C\star-algebra antilinear map Spectral radius Numerical radius
2010/3/3
The Le Page inequality in Banach algebras is \parallel xy \parallel\leqa\parallel yx\parallel. We consider inequalities where a linear involution appears and has consequences on the involution itself ...
EXTENSION OF CARISTI-KIRK'S THEOREM
Uniform spaces multi-valued mappings fixed point theorem maximal element weak p-contraction mappings
2010/3/17
We give some extensions and/or improvements, to uniform spaces and to multi-valued mappings, of Caristi-Kirk's theorem.