Note on the Norm Convergence of the Unitary Trotter Product Formula

2004 ◽  
Vol 70 (1) ◽  
pp. 65-81 ◽  
Author(s):  
Takashi Ichinose ◽  
Hideo Tamura
Keyword(s):  
Product Formula ◽  
Norm Convergence ◽  
Trotter Product Formula

TROTTER PRODUCT FORMULA FOR NONSELF-ADJOINT GIBBS SEMIGROUPS

2001 ◽  
Vol 64 (2) ◽  
pp. 436-444 ◽  
Author(s):  
VINCENT CACHIA ◽  
VALENTIN A. ZAGREBNOV
Keyword(s):  
Convergence Rate ◽  
Error Bound ◽  
Trace Class ◽  
Product Formula ◽  
Trace Norm ◽  
Norm Convergence ◽  
Trotter Product Formula

The trace-norm convergence of the Trotter product formula is proved for nonself-adjoint Gibbs semigroups. For any m-sectorial generators A and B such that e−tReA is in the trace-class for t > 0, the Trotter product formula converges in the trace-norm. With smallness conditions on B with respect to A, we give error bound estimates of the convergence rate in this topology.

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

Note on the Paper "The Norm Convergence¶ of the Trotter-Kato Product Formula with Error Bound" by Ichinose and Tamura

2001 ◽  
Vol 221 (3) ◽  
pp. 499-510 ◽  
Author(s):  
Takashi Ichinose ◽  
Hideo Tamura ◽  
Hiroshi Tamura ◽  
Valentin A. Zagrebnov
Keyword(s):  
Error Bound ◽  
Product Formula ◽  
Norm Convergence
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