Seminorm and numerical radius inequalities of operators in semi-Hilbertian spaces
نویسندگان
چکیده
منابع مشابه
some properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولInequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces
Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are given.
متن کاملNorm and Numerical Radius Inequalities for a Product of Two Linear Operators in Hilbert Spaces
The main aim of the present paper is to establish some norm and numerical radius inequalities for the composite operator BA under suitable assumptions for the transform Cα,β (T ) := (T ∗ −αI) (β I−T ) , where α ,β ∈ C and T ∈ B(H), of the operators involved. Mathematics subject classification (2000): Primary 47A12, 47A30; Secondary 47A63..
متن کاملNew Reverse Inequalities for the Numerical Radius of Normal Operators in Hilbert Spaces
Let (H ; 〈·, ·〉) be a complex Hilbert space and T : H → H a bounded linear operator on H. Recall that T is a normal operator if T T = TT . Normal operator T may be regarded as a generalisation of self-adjoint operator T in which T ∗ need not be exactly T but commutes with T [5, p. 15]. An equivalent condition with normality that will be extensively used in the following is that ‖Tx‖ = ‖T ∗x‖ fo...
متن کاملReverse Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces
Some elementary inequalities providing upper bounds for the difference of the norm and the numerical radius of a bounded linear operator on Hilbert spaces under appropriate conditions are given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2020
ISSN: 0024-3795
DOI: 10.1016/j.laa.2020.01.015