Perturbation theory and strictly singular operators in locally convex spaces

D. van Dulst

Displaying similar documents to “Perturbation theory and strictly singular operators in locally convex spaces”

On strictly singular operators

D. Van Dulst (1971)

Compositio Mathematica

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Unbounded linear transformations of upper semi-Fredholm type in normed spaces

Cross, R.W. (1990)

Portugaliae mathematica

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Relatively open operators and the ubiquitous concept.

R. W. Cross (1994)

Publicacions Matemàtiques

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A linear operator T: D(T) ⊂ X → Y, when X and Y are normed spaces, is called (UO) if every infinite dimensional subspace M of D(T) contains another such subspace N for which T|N is open (in the relative sense). The following properties are shown to be equivalent: (i) T is UO, (ii) T is ubiquitously almost open, (iii) no infinite dimensional restriction of T is injective and precompact, (iv) either T is upper semi-Fredholm or T has finite dimensional range, (v) for each infinite dimensional...