Norm Estimate for Kac’s Transfer Operator with Applications to the Lie-Trotter Product Formula

2020 ◽  
pp. 145-154
Author(s):  
Takashi Ichinose
Keyword(s):  
Transfer Operator ◽  
Product Formula ◽  
Trotter Product Formula ◽  
Norm Estimate

scholarly journals The norm estimate of the difference between the Kac operator and the Schrödinger semigroup: A unified approach to the nonrelativistic and relativistic cases

1998 ◽  
Vol 149 ◽  
pp. 53-81 ◽  
Author(s):  
Takashi Ichinose ◽  
Satoshi Takanobu
Keyword(s):  
Schrödinger Operators ◽  
Product Formula ◽  
Operator Norm ◽  
Schrodinger Operators ◽  
Unified Approach ◽  
Trotter Product Formula ◽  
Nonrelativistic Case ◽  
Norm Estimate ◽  
Schrödinger Semigroup ◽  
The Difference

Abstract.An Lp operator norm estimate of the difference between the Kac operator and the Schrödinger semigroup is proved and used to give a variant of the Trotter product formula for Schrödinger operators in the Lp operator norm. The method of the proof is probabilistic based on the Feynman-Kac formula. The problem is discussed in the relativistic as well as nonrelativistic case.

Accretive perturbations and error estimates for the Trotter product formula

2001 ◽  
Vol 39 (4) ◽  
pp. 396-412 ◽  
Author(s):  
Vincent Cachia ◽  
Hagen Neidhardt ◽  
Valentin A. Zagrebnov
Keyword(s):  
Error Estimates ◽  
Product Formula ◽  
Trotter Product Formula
Sign in / Sign up

Export Citation Format

Share Document