Ukrainian Mathematical Bulletin

Volume 2, Issue 1, 2005 pp. 95-11.

More Examples of Hereditarily ell_p Banach Spaces

Authors: Mikhail M. Popov
Author institution: Mikhail M. Popov, Department of Mathematics Chernivtsi National University, str. Kotsyubyns'koho 2, 58012 Chernivtsi, Ukraine

Summary: Extending our previous result, we construct a class of hereditarily \ell_p Banach spaces for 1 \leq p \infty (c_0), investigate their properties, and show that the classical Pitt theorem on the compactness of operators from \ell_s to \ell_p for 1 \leq p s \infty is not true in the general setting of hereditarily \ell_s and \ell_p spaces.

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