scholarly journals Kato's inequality and essential selfadjointness for the Weyl quantized relativistic Hamiltonian

1988 ◽  
Vol 64 (10) ◽  
pp. 367-369 ◽  
Author(s):  
Takashi Ichinose
Keyword(s):  
Essential Selfadjointness ◽  
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.

scholarly journals On essential selfadjointness of the Weyl quantized relativistic Hamiltonian

1993 ◽  
Vol 5 (5) ◽  
pp. 539-560 ◽  
Author(s):  
Takashi Ichinose ◽  
Tetsuo Tsuchida
Keyword(s):  
Essential Selfadjointness

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
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