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Rosenthal operator spaces [PDF]

open access: yesStudia Mathematica, 2007
In 1969 Lindenstrauss and Rosenthal showed that if a Banach space is isomorphic to a complemented subspace of an L_p-space, then it is either a script L_p-space or isomorphic to a Hilbert space.
Junge, Marius   +2 more
core   +5 more sources

Twisting Operator Spaces

open access: yesTransactions of the American Mathematical Society, 2017
In this work we study the following three space problem for operator spaces: if X is an operator space with base space isomorphic to a Hilbert space and X contains a completely isomorphic copy of the operator Hilbert space OH with respective quotient ...
Corrêa, Willian Hans Goes
core   +3 more sources

The positivity of the differential operator generated by hyperbolic system of equations [PDF]

open access: yesE-Journal of Analysis and Applied Mathematics, 2023
In the present paper, the initial value problem for the hyperbolic system of equations with nonlocal boundary conditions is investigated. The positivity of the space operator generated by the given problem in interpolation spaces is established.
Rahat Prenov
doaj   +1 more source

Some Properties of Operator Valued Frames in Quaternionic Hilbert Spaces

open access: yesMathematics, 2022
Quaternionic Hilbert spaces play an important role in applied physical sciences especially in quantum physics. In this paper, the operator valued frames on quaternionic Hilbert spaces are introduced and studied.
Guoqing Hong, Pengtong Li
doaj   +1 more source

Interpolation of nonlinear integral Urysohn operators in net spaces [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we study the interpolation properties of the net spaces Np,q(M), in the case when M is a sufficiently general arbitrary system of measurable subsets from Rn. The integral Urysohn operator is considered.
A.H. Kalidolday, E.D. Nursultanov
doaj   +2 more sources

Some Topological Character of Neutrosophic normed spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
The concept of neutrosophic normed spaces was introduced by Murat Kirisci* and Necip Simsek [3]. In this paper, by using the compact operator ψ(zj ) and the concept of statistical convergence.
Vakeel A. Khan, Mohammad Daud Khan
doaj   +1 more source

Operator Ideals and Operator Spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1995
We prove that every full symmetrically normed ideal of operators on a Hilbert space is realizable as the set of completely bounded maps between two homogeneous operator Hilbert spaces, with the c.b. norm equivalent to (but in general not equal to) the symmetric norm. We show that one can have equality of the c.b.
Mathes, D. Benjamin, Paulsen, Vern I.
openaire   +1 more source

The generalized projection methods in countably normed spaces

open access: yesJournal of Inequalities and Applications, 2021
Let E be a Banach space with dual space E ∗ $E^{*}$ , and let K be a nonempty, closed, and convex subset of E. We generalize the concept of generalized projection operator “ Π K : E → K $\Pi _{K}: E \rightarrow K$ ” from uniformly convex uniformly smooth
Sarah Tawfeek   +2 more
doaj   +1 more source

Sharp bounds for Hardy-type operators on mixed radial-angular central Morrey spaces

open access: yesJournal of Inequalities and Applications, 2023
By using the rotation method, a sharp bound for an n-dimensional Hardy operator on mixed radial-angular central Morrey spaces is obtained. Furthermore, a sharp weak-type estimate for an n-dimensional Hardy operator on mixed radial-angular central Morrey ...
Mingquan Wei, Dunyan Yan
doaj   +1 more source

Boundedness of composition operators on Morrey spaces and weak Morrey spaces

open access: yesJournal of Inequalities and Applications, 2021
In this study, we investigate the boundedness of composition operators acting on Morrey spaces and weak Morrey spaces. The primary aim of this study is to investigate a necessary and sufficient condition on the boundedness of the composition operator ...
Naoya Hatano   +3 more
doaj   +1 more source

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