Some inequalities for commutators of bounded linear operators in Hilbert 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 اولVector Inequalities for Powers of Some Operators in Hilbert Spaces
Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and selfcommutators are given.
متن کاملSome means inequalities for positive operators in Hilbert spaces
In this paper, we obtain two refinements of the ordering relations among Heinz means with different parameters via the Taylor series of some hyperbolic functions and by the way, we derive new generalizations of Heinz operator inequalities. Moreover, we establish a matrix version of Heinz inequality for the Hilbert-Schmidt norm. Finally, we introduce a weighted multivariate geometric mean and sh...
متن کاملSome Inequalities for (α, Β)-normal Operators in Hilbert Spaces
An operator T is called (α, β)-normal (0 ≤ α ≤ 1 ≤ β) if αT ∗T ≤ TT ∗ ≤ βT ∗T. In this paper, we establish various inequalities between the operator norm and its numerical radius of (α, β)-normal operators in Hilbert spaces. For this purpose, we employ some classical inequalities for vectors in inner product spaces.
متن کاملSome Inequalities of the Grüss Type for the Numerical Radius of Bounded Linear Operators in Hilbert Spaces
Correspondence should be addressed to S. S. Dragomir, [email protected] Received 27 May 2008; Accepted 4 August 2008 Recommended by Yeol Je Cho Some inequalities of the Grüss type for the numerical radius of bounded linear operators in Hilbert spaces are established. Copyright q 2008 S. S. Dragomir. This is an open access article distributed under the Creative Commons Attribution License...
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: Filomat
سال: 2011
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1102151d