Kato’s Inequality

2019 ◽  
pp. 47-60 ◽  
Author(s):  
W. Arendt ◽  
A. F. M. ter Elst
Keyword(s):  
Kato’S Inequality

scholarly journals Some inequalities for trace class operators via a Kato’s result

2017 ◽  
Vol 11 (01) ◽  
pp. 1850004
Author(s):  
S. S. Dragomir
Keyword(s):  
Hilbert Space ◽  
Power Series ◽  
Trace Class ◽  
Complex Hilbert Space ◽  
Normal Operators ◽  
Trace Class Operators ◽  
Kato’S Inequality ◽  
New Inequalities

By the use of the celebrated Kato’s inequality, we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space [Formula: see text] Natural applications for functions defined by power series of normal operators are given as well.

scholarly journals Absolute values in orthogonally decomposable spaces

1985 ◽  
Vol 31 (2) ◽  
pp. 215-233 ◽  
Author(s):  
Sadayuki Yamamuro
Keyword(s):  
Banach Space ◽  
Linear Operators ◽  
Ordered Banach Space ◽  
Locality Condition ◽  
Absolute Value ◽  
General Properties ◽  
The Absolute ◽  
Kato’S Inequality

In an ordered Banach space which is orthogonally decomposable, we define the absolute value and its general properties are given. The results are used to study the properties of linear operators which satisfy Kato's inequality and the locality condition.

Kato's inequality for secondary-quantization operators

1984 ◽  
Vol 35 (6) ◽  
pp. 656-659 ◽  
Author(s):  
Yu. G. Kondrat'ev
Keyword(s):  
Kato’S Inequality

scholarly journals Kato's Inequality for Magnetic Relativistic Schrödinger Operators

2017 ◽  
Vol 53 (1) ◽  
pp. 79-117 ◽  
Author(s):  
Fumio Hiroshima ◽  
Takashi Ichinose ◽  
József Lőrinczi
Keyword(s):  
Kato’S Inequality

On Kato's inequality for the Weyl quantized relativistic Hamiltonian

1992 ◽  
Vol 76 (1) ◽  
pp. 269-280 ◽  
Author(s):  
Takashi Ichinose ◽  
Tetsuo Tsuchida
Keyword(s):  
Kato’S Inequality
Sign in / Sign up

Export Citation Format

Share Document