Study Of b-Hilbert Spaces And Some Classes Of Operators - Rafeeq, Ghafoori
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In this work, we have studied some geometric properties of some linear spaces; n-normed spaces, generalized 2-inner product spaces and b-Hilbert spaces, where we have proved some basic properties. As well as, we have given some new concept of b-congruence classes in generalized 2-inner product space. In addition, we have introduced definitions of ~self-adjoint operators and ~ positive operators in b-Hilbert space. Moreover, we have showed some of their properties and the relation between them. Finally this research shows that there is a lot of works in this area, especially the studied kinds of operators.…mehr

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Produktbeschreibung
In this work, we have studied some geometric properties of some linear spaces; n-normed spaces, generalized 2-inner product spaces and b-Hilbert spaces, where we have proved some basic properties. As well as, we have given some new concept of b-congruence classes in generalized 2-inner product space. In addition, we have introduced definitions of ~self-adjoint operators and ~ positive operators in b-Hilbert space. Moreover, we have showed some of their properties and the relation between them. Finally this research shows that there is a lot of works in this area, especially the studied kinds of operators.
Autorenporträt
Ghafoori Rafeeq Ghafoor AL-Talibani,Live in Iraq-BaghdadWork in Ministry of Science and Technology since 2006. Member in Iraqi Society of Physics and Mathematics since 1996.Title of manuscript which publication in Iraq Journal of Science: Properties of ~Self-Adjoint and ~Positive Operators in b-Hilbert Space