On operators and complemented subspaces in the Köthe spaces determined by sparse matrices

DOI10.1007/BF02112535zbMath0911.46006MaRDI QIDQ1921848

V. P. Kondakov

Publication date: 3 September 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

sparse matricescompact operatorcontinuous linear operatorcomplemented subspacestopology of uniform convergence on compact subsetsblock Köthe spaceslacunary power series space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Spaces of operators; tensor products; approximation properties (46B28) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45)

Related Items (2)

Unnamed Item ⋮ On the existence of a basis in a complemented subspace of a nuclear Köthe space from class $(d_1)$

Cites Work

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• On idempotent operators on Fréchet spaces
• Radius of univalence of a regular function
• Complemented infinite type power series subspaces of nuclear Fréchet spaces
• Orthogonalization of bases in some classes of nuclear spaces
• Isomorphisms of Cartesian products of linear topological spaces
• Power Series Space Representations of Nuclear Frechet Spaces
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• О строении безусловных базисов некоторых пространств Кëте
• Complemented subspaces in tame power series spaces
• Bessaga's conjecture in unstable Köthe spaces and products

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