Browsing by Author "Fourie, Jan"

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    Equivalent Banach operator ideal norms’’
    (2012-01) Musundi, S. Wambomba; Shem, Aywa; Fourie, Jan
    Let X, Y be Banach spaces and consider the w'-topology (the dual weak operator topology) on the space (L(X, Y) of bounded linear operators from X into X with the uniform operator norm. L w' (X, Y) is the space of all T ∈ L(X, Y) for which there exists a sequence of compact linear operators (Tn) ⊂ K(X, Y) such that T = w' - lim nT n. Two equivalent norms, on L w'(X, Y) are considered. We show that and Banach operator ideals.