scholarly journals Some numerical radius inequalities for power series of operators in Hilbert spaces

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Silvestru Sever Dragomir
Keyword(s):  
Power Series ◽  
Hilbert Spaces ◽  
Numerical Radius

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 Some Inequalities for Power Series of Two Operators in Hilbert Spaces

2013 ◽  
Vol 36 (2) ◽  
pp. 483-498 ◽  
Author(s):  
Sever Silvestru DRAGOMIR ◽  
Mitsuru UCHIYAMA
Keyword(s):  
Power Series ◽  
Hilbert Spaces

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. .

REFINEMENTS OF THE CONTINUOUS TRIANGLE INEQUALITY FOR THE BOCHNER INTEGRAL IN HILBERT SPACES

2008 ◽  
Vol 01 (04) ◽  
pp. 521-533
Author(s):  
S. S. Dragomir
Keyword(s):  
Hilbert Spaces ◽  
Triangle Inequality ◽  
Bochner Integral ◽  
Numerical Radius ◽  
Operator Inequalities ◽  
Vector Valued Functions ◽  
Complex Valued ◽  
Vector Valued

Some refinements of the continuous triangle inequality for the Bochner integral of vector-valued functions in Hilbert spaces are given. Applications for norm and numerical radius operator inequalities are provided. A particular case of interest for complex-valued functions is pointed out as well.

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