Add to ORKGWe construct a Hereditarily Indecomposable Banach space Xd with a Schauder basis (en)n∈N on which there exist strictly singular non-compact diagonal operators. Moreover, the space Ldiag(Xd) of diagonal operators with respect to the basis (en)n∈N contains an isomorphic copy of `∞(N)
AbstractWe construct a computable Banach space which possesses a Schauder basis, but does not posses...
Thompson\u27s theorem provides a characterization of the diagonals of finite matrices with specified...
In Edmunds et al. [J Lond Math Soc 78(2):65–84, 2008], a representation of a compact linear operator...
Abstract. V. D. Milman proved in [18] that the product of two strictly singular operators on Lp[0, 1...
Let E and F be Banach spaces. A linear operator from E to F is said to be strictly singular if, for ...
AbstractWe construct a family (Xγ) of reflexive Banach spaces with long (countable as well as uncoun...
textLet X be a Banach space and denote by SS₁(X) the set of all S₁-strictly singular operators from ...
AbstractWe show that there are operators on a five-dimensional Hilbert space which are not tridiagon...
We construct a computable Banach space which possesses a Schauder basis, but does not possess any co...
The research in this thesis was initially motivated by an outstanding problem posed by Argyros and H...
The research in this thesis was initially motivated by an outstanding problem posed by Argyros and H...
AbstractLet E be an infinite-dimensional non-archimedean Fréchet space which is not isomorphic to an...
AbstractWe provide a characterization of the class of nonseparable Banach spaces that contain a nons...
Summarization: Answering the question of W. T. Gowers, we give an example of a bounded operator on a...
The construction of a non-separable reflexive Banach space on which every operator is the sum of a s...
AbstractWe construct a computable Banach space which possesses a Schauder basis, but does not posses...
Thompson\u27s theorem provides a characterization of the diagonals of finite matrices with specified...
In Edmunds et al. [J Lond Math Soc 78(2):65–84, 2008], a representation of a compact linear operator...
Abstract. V. D. Milman proved in [18] that the product of two strictly singular operators on Lp[0, 1...
Let E and F be Banach spaces. A linear operator from E to F is said to be strictly singular if, for ...
AbstractWe construct a family (Xγ) of reflexive Banach spaces with long (countable as well as uncoun...
textLet X be a Banach space and denote by SS₁(X) the set of all S₁-strictly singular operators from ...
AbstractWe show that there are operators on a five-dimensional Hilbert space which are not tridiagon...
We construct a computable Banach space which possesses a Schauder basis, but does not possess any co...
The research in this thesis was initially motivated by an outstanding problem posed by Argyros and H...
The research in this thesis was initially motivated by an outstanding problem posed by Argyros and H...
AbstractLet E be an infinite-dimensional non-archimedean Fréchet space which is not isomorphic to an...
AbstractWe provide a characterization of the class of nonseparable Banach spaces that contain a nons...
Summarization: Answering the question of W. T. Gowers, we give an example of a bounded operator on a...
The construction of a non-separable reflexive Banach space on which every operator is the sum of a s...
AbstractWe construct a computable Banach space which possesses a Schauder basis, but does not posses...
Thompson\u27s theorem provides a characterization of the diagonals of finite matrices with specified...
In Edmunds et al. [J Lond Math Soc 78(2):65–84, 2008], a representation of a compact linear operator...