THE CLOSED RANGE PROPERTY FOR BANACH SPACE OPERATORS
نویسندگان
چکیده
منابع مشابه
The Closed Range Property for Banach Space Operators
Let T be a bounded operator on a complex Banach space X. If V is an open subset of the complex plane, we give a condition sufficient for the mapping f(z) 7→ (T − z)f(z) to have closed range in the Fréchet space H(V, X) of analytic X-valued functions on V . Moreover, we show that there is a largest open set U for which the map f(z) 7→ (T − z)f(z) has closed range in H(V, X) for all V ⊆ U . Final...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2008
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089507003898