ACTA issues

On the essential numerical range

Mohamed Barraa, Vladimir Müller

Acta Sci. Math. (Szeged) 71:1-2(2005), 285-298

Abstract. We introduce and study the essential numerical range for Banach space operators. This generalizes the corresponding well-known concept for Hilbert space operators.

AMS Subject Classification (1991): 47A12, 46H05

Keyword(s): essential numerical range, measure of non-compactness, Asplund spaces

Received November 5, 2004. (Registered under 5869/2009.)