Turkish Journal of Mathematics
DOI
-
Abstract
In the present survey generalized linear topological invariants are considered as a development of classical invariants of Kolmogorov and Pelczynski (approximative and diametral dimensions). It is realized a geometric idea to construct some new invariant characteristics by applying of classical characteristics (diameter or entropy-like characteristics) to some symplest interpolational constructions under neighborhoods, taken from a given basis of neighborhoods of zero. It is considered various applications to isomorphic classification of generalized power K\"{o}the spaces (in particular, tensor products of finite and infinite type power series spaces, spaces of analytic and infinitely differentiable vector-valued functions, spaces of analytic functions of several variables.
First Page
237
Last Page
289
Recommended Citation
ZAHARIUTA, V. (1996) "LINEAR TOPOLOGIC INVARIANTS AND THEIR APPLICATIONS TO ISOMORPHIC CLASSIFICATION OF GENERALIZED POWER SPACES," Turkish Journal of Mathematics: Vol. 20: No. 2, Article 14. Available at: https://journals.tubitak.gov.tr/math/vol20/iss2/14
