Weakly compact operators on non-complete normed spaces
نویسندگان
چکیده
منابع مشابه
Representing non–weakly compact operators
For each S ∈ L(E) (with E a Banach space) the operator R(S) ∈ L(E/E) is defined by R(S)(x + E) = Sx + E (x ∈ E). We study mapping properties of the correspondence S → R(S), which provides a representation R of the weak Calkin algebra L(E)/W (E) (here W (E) denotes the weakly compact operators on E). Our results display strongly varying behaviour of R. For instance, there are no non–zero compact...
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2009
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2008.10.005