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- W2015343514 abstract "Abstract The problems on isomorphic classification and quasiequivalence of bases are studied for the class of mixed F -, DF-power series spaces, i.e. the spaces of the following kind where a i (p, q) = exp((p - λ i q)a i ), p,q ∈ ℕ, and λ = (λ i ) i∈ℕ , a = (a i ) i∈ℕ are some sequences of positive numbers. These spaces, up to isomorphisms, are basis subspaces of tensor products of power series spaces of F - and DF-types, respectively. The mrectangle characteristic of the space G(λ a) is defined as the number of members of the sequence (ïiÒ ai)i2N which are contained in the union of m rectangles P k = ( δ k , ε k ] ✗ (τ k , t k ], k = 1, 2 , . . . , m. It is shown that each m-rectangle characteristic is an invariant on the considered class under some proper definition of an equivalency relation. The main tool are new compound invariants, which combine some version of the classical approximative dimensions (Kolmogorov, Pełczynski) with appropriate geometrical and interpolational operations under neighborhoods of the origin (taken from a given basis)." @default.
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- W2015343514 date "1998-12-01" @default.
- W2015343514 modified "2023-09-23" @default.
- W2015343514 title "Compound Invariants and Mixed F-, DF-Power Spaces" @default.
- W2015343514 doi "https://doi.org/10.4153/cjm-1998-055-0" @default.
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