Displaying similar documents to “Spectral approximation of positive operators by iteration subspace method”

On weakly infinite-dimensional subspuees

P. Borst (1992)

Fundamenta Mathematicae

Similarity:

We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and d i m Y = ω 0 and d i m X = ω 0 + 1 . Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.