Turkish Journal of Mathematics
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.
DOI
-
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
