scholarly journals Vector inequalities for powers of some operators in Hilbert spaces

Filomat ◽  
2009 ◽  
Vol 23 (1) ◽  
pp. 69-83
Author(s):  
S.S. Dragomir
Keyword(s):  
Hilbert Spaces ◽  
Operator Norm ◽  
Numerical Radius

Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self-commutators are given. .

scholarly journals Some inequalities for the norm and the numerical radius of linear operators in Hilbert spaces

2008 ◽  
Vol 39 (1) ◽  
pp. 1-7 ◽  
Author(s):  
S. S. Dragomir
Keyword(s):  
Hilbert Spaces ◽  
Linear Operators ◽  
Operator Norm ◽  
Inner Product ◽  
Product Spaces ◽  
Numerical Radius ◽  
Inner Product Spaces

In this paper various inequalities between the operator norm and its numerical radius are provided. For this purpose, we employ some classical inequalities for vectors in inner product spaces due to Buzano, Goldstein-Ryff-Clarke, Dragomir-S ´andor and the author.

scholarly journals More on -Normal Operators in Hilbert Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Rasoul Eskandari ◽  
Farzollah Mirzapour ◽  
Ali Morassaei
Keyword(s):  
Hilbert Space ◽  
Banach Algebra ◽  
Hilbert Spaces ◽  
Linear Operators ◽  
Operator Norm ◽  
Numerical Radius ◽  
Bounded Linear Operators ◽  
Bounded Linear ◽  
Normal Operators

We study some properties of -normal operators and we present various inequalities between the operator norm and the numerical radius of -normal operators on Banach algebraℬ() of all bounded linear operators , where is Hilbert space.

Sharp bounded for numerical radius and operator norm inequalities

2013 ◽  
Vol 7 ◽  
pp. 741-745
Author(s):  
H. Khosravi ◽  
M. Khanehgir ◽  
E. Faryad ◽  
P. Jafari
Keyword(s):  
Operator Norm ◽  
Numerical Radius ◽  
Norm Inequalities

scholarly journals Numerical Radius and Operator Norm Inequalities

2009 ◽  
Vol 2009 (1) ◽  
pp. 492154 ◽  
Author(s):  
Khalid Shebrawi ◽  
Hussien Albadawi
Keyword(s):  
Operator Norm ◽  
Numerical Radius ◽  
Norm Inequalities

scholarly journals FURTHER INEQUALITIES FOR THE EUCLIDEAN OPERATOR RADIUS

2021 ◽  
Vol 12 (4) ◽  
pp. 25-32
Author(s):  
HASSAN RANJBAR ◽  
ASADOLLAH NIKNAM
Keyword(s):  
Hilbert Space ◽  
Linear Operators ◽  
Operator Norm ◽  
Numerical Radius ◽  
Bounded Linear Operators ◽  
Norm Inequalities ◽  
Bounded Linear ◽  
Hermitian Forms ◽  
Sum Of Products

By use of some non-negative Hermitian forms defined for n-tuple of bounded linear operators on the Hilbert space (H, h·, ·i) we establish new numerical radius and operator norm inequalities for sum of products of operators

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