NEW MAJORIZATION FOR BOUNDED LINEAR OPERATORS IN HILBERT SPACES
عنوان مقاله: NEW MAJORIZATION FOR BOUNDED LINEAR OPERATORS IN HILBERT SPACES
شناسه ملی مقاله: JR_JAS-11-2_001
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_JAS-11-2_001
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
Farzaneh Gorjizadeh - Department of Pure Mathematics, University of Shahrekord, P.O. Box ۱۱۵, Shahrekord, Iran.
Noha Eftekhari - Department of Pure Mathematics, University of Shahrekord, P.O. Box ۱۱۵, Shahrekord, Iran.
خلاصه مقاله:
Farzaneh Gorjizadeh - Department of Pure Mathematics, University of Shahrekord, P.O. Box ۱۱۵, Shahrekord, Iran.
Noha Eftekhari - Department of Pure Mathematics, University of Shahrekord, P.O. Box ۱۱۵, Shahrekord, Iran.
This work aims to introduce and investigate a preordering in B(\mathcal{H}), the Banach space of all bounded linear operators defined on a complex Hilbert space \mathcal{H}. It is called strong majorization and denoted by S\prec_{s}T, for S,T\in B(\mathcal{H}). The strong majorization follows majorization defined by Barnes, but not vice versa. If S\prec_{s}T, then S inherits some properties of T. The strong majorization will be extended for the d-tuple of operators in B(\mathcal{H})^{d} and is called joint strong majorization denoted by S\prec_{js}T, for S,T\in B(\mathcal{H})^{d}. We show that some properties of strong majorization are satisfied for joint strong majorization.
کلمات کلیدی: Strong majorization, Hilbert space, Positive operator
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1686624/