AbstractIf 1 < p < ∞, 1 ⩽ q < ∞ and p ≠ q, then it is proved that every bounded linear operator from lp into lq has the property that its range does not contain any infinite dimensional closed subspace. It is also proved that every bounded linear operator from Lp into lq where 1 < p ⩽ 2, 1 ⩽ q < ∞, q ≠ 2 and p ≠ q, or from lp into Lq where 1 < p < ∞, 2 ⩽ q < ∞, p ≠ 2 and p ≠ q has the same property
AbstractIn this work we establish some basic properties of closed linear operators between nonarchim...
34 pages. Old project, already announced at several occasions in 2016, and that took a long time to ...
Let X and Y be infinite-dimensional Banach spaces. Let $T: X → Y$ be a linear continuous operator wi...
If 1 < p < ∞, 1 ≤ q < ∞ and p ≠ q, then it is proved that every bounded linear operator from l into ...
AbstractIf 1 < p < ∞, 1 ⩽ q < ∞ and p ≠ q, then it is proved that every bounded linear operator from...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
AbstractLet X and Y be separable Banach spaces and T:X→Y be a bounded linear operator. We characteri...
Given a bounded linear operator T from a separable infinite-dimensional Banach space E into a Banach...
Let H and K be two Hilbert spaces,and let A∈B(H),B∈B(K,H) be two bounded linear operators such that ...
AbstractIn this short note we prove the result stated in the title; that is, for every p>0 there exi...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
In this paper we consider the spaces , , of infinite matrices defined by the norm . We consider the ...
Abstract. We prove that limp→ ∞ ‖f‖p+1p+1 / ‖f‖pp = ‖f‖ ∞ for f 6 = 0 in the Bochner space L∞E (μ), ...
AbstractIn this work we establish some basic properties of closed linear operators between nonarchim...
34 pages. Old project, already announced at several occasions in 2016, and that took a long time to ...
Let X and Y be infinite-dimensional Banach spaces. Let $T: X → Y$ be a linear continuous operator wi...
If 1 < p < ∞, 1 ≤ q < ∞ and p ≠ q, then it is proved that every bounded linear operator from l into ...
AbstractIf 1 < p < ∞, 1 ⩽ q < ∞ and p ≠ q, then it is proved that every bounded linear operator from...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
It is shown that the space of bounded linear operators on certain L∞-spaces is non-separable. These ...
AbstractLet X and Y be separable Banach spaces and T:X→Y be a bounded linear operator. We characteri...
Given a bounded linear operator T from a separable infinite-dimensional Banach space E into a Banach...
Let H and K be two Hilbert spaces,and let A∈B(H),B∈B(K,H) be two bounded linear operators such that ...
AbstractIn this short note we prove the result stated in the title; that is, for every p>0 there exi...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
AbstractWhile the algebra of infinite matrices is more or less reasonable, the analysis is not. Ques...
In this paper we consider the spaces , , of infinite matrices defined by the norm . We consider the ...
Abstract. We prove that limp→ ∞ ‖f‖p+1p+1 / ‖f‖pp = ‖f‖ ∞ for f 6 = 0 in the Bochner space L∞E (μ), ...
AbstractIn this work we establish some basic properties of closed linear operators between nonarchim...
34 pages. Old project, already announced at several occasions in 2016, and that took a long time to ...
Let X and Y be infinite-dimensional Banach spaces. Let $T: X → Y$ be a linear continuous operator wi...
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