Operator Theory on Hilbert Spaces. by Ampeire, Anitah

Subjects: “…Operator Theory…”
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The difference vectors for convex sets and a resolution of the geometry conjecture by Alwadani, Salihah, Bauschke, Heinz H., Revalski, Julian P., Wang, Xianfu

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Some New Notions of Bases for the Range of Operators in Hilbert Spaces by Hessam Hosseinnezhad

“…Next, we construct some new controlled bases with operator theory tools.  Finally, some dual characterizations are given.…”
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Douglas' Factorization Theorem and Atomic System in Hilbert Pro-$C^{\ast}$-Modules by Mohamed Rossafi, Roumaissae Eljazzar, Ram Mohapatra

“…In the present paper, we introduce  the generalized inverse operators, which have an exciting role in operator theory. We establish Douglas' factorization theorem type  for  the Hilbert pro-$C^{\ast}$-module.We introduce the notion of atomic system and $K$-frame in the Hilbert pro-$C^{\ast}$-module and study their relationship. …”
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