Die diametrale Dimension von lokalkonvexen Räumen.
Concrete subspaces and quotient spaces of locally convex spaces and completing sequences
CONTENTSIntroduction..................................................................................51. Almost bounded sets and operators........................................62. Eidelheit’s theorem................................................................133. Nuclear Köthe quotients.........................................................204. Nuclear Köthe subspaces and completing sequences...........225. Applications...........................................................................256....
Consequences of the existence of a non-compact operator between nuclear Köthe spaces.
Some normability conditions on Fréchet spaces.
We define two new normability conditions on Fréchet spaces and announce some related results.
On isomorphic classification of tensor products
Abstract New linear topological invariants are introduced and utilized to give an isomorphic classification of tensor products of the type , where is a power series space of infinite type. These invariants are modifications of those suggested earlier by Zahariuta. In particular, some new results are obtained for spaces of infinitely differentiable functions with values in a locally convex space X. These spaces coincide, up to isomorphism, with spaces L(s’,X) of all continuous linear operators...
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