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Abstract In this study, a proof is given that if a non-Archimedean Kothe space Λ, which is generated by an infinite matrix B = ( b n k ) k… Click to show full abstract
Abstract In this study, a proof is given that if a non-Archimedean Kothe space Λ, which is generated by an infinite matrix B = ( b n k ) k , n ∈ N such that b n k ≤ b n + 1 k for k , n ∈ N and for each k , l ∈ N , m ∈ N exists such that b n k + 1 ≥ b n + l k for n ≥ m , then a continuous operator T : Λ → Λ exists that has no nontrivial closed invariant subspaces.
Keywords:
subspace problem;
non archimedean;
archimedean spaces;
invariant subspace;
problem non
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017
Link to full text (if available)
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recommendations!