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Bochner representable operators on Köthe-Bochner spaces

Nowak M.

Commentationes Mathematicae

2008

Vol. 48, [Z] 2

113-119

Let E be a Banach function space and X be a real Banach space. We study Bochner representable operators from a K¨othe-Bochner space E(X) to a Banach space Y . We consider the problem of compactness and weak compactness of Bochner representable operators from E(X) (provided with the natural mixed topology) to Y .

The embeddability of C0 in spaces of operators

Ghenciu I., Lewis P.

Bulletin of the Polish Academy of Sciences. Mathematics

2008

Vol. 56, no 3-4

239-256

Results of Emmanuele and Drewnowski are used to study the containment of c0 in the space Kw* (X*, Y), as well as the complementation of the space Kw* (X*,Y) of w*-w compact operators in the space Lw*(X*, Y) of w*-w operators from X* to Y.

Complemented spaces of operators

Bator E. M., Lewis P. W.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

Vol. 50, no 4

413-416

The complementation of various classes of operators in the space L(E, F) of bounded linear operators between Banach spaces E and F is studied.