scholarly journals An application of the perturbation theorem for $m$-accretive operators

1983 ◽  
Vol 59 (3) ◽  
pp. 88-90 ◽  
Author(s):  
Noboru Okazawa
Keyword(s):  
Accretive Operators ◽  
Perturbation Theorem

On the ranges of perturbed m-accretive operators

1997 ◽  
Vol 29 (6) ◽  
pp. 717-723
Author(s):  
Ma Xinshun
Keyword(s):  
Accretive Operators

scholarly journals Some examples related to Kato's conjecture

1996 ◽  
Vol 60 (2) ◽  
pp. 274-286 ◽  
Author(s):  
Rhonda J. Hughes ◽  
Paul R. Chernoff
Keyword(s):  
Wavelet Basis ◽  
Accretive Operators ◽  
Singular Coefficients

AbstractWe show that the Kato conjecture is true for m-accretive operators with highly singular coefficients. For operators of the form A = *F, where formally corresponds to d/dx + zδ on L2 (R), we prove that Dom (A1/2) = Dom() = e-zHH1(R) where H is the Heavysied function. By adapting recent methods of Auscher and Tchamitchian, we characterize Dom (A) in terms of an unconditional wavelet basis for L2(R).

ON THE THEORY OF THE DOPPLER EFFECT IN A MOVING MEDIUM

1998 ◽  
Vol 13 (01) ◽  
pp. 1-6 ◽  
Author(s):  
BRUNO BERTOTTI
Keyword(s):  
Solar Wind ◽  
Doppler Effect ◽  
Dispersive Medium ◽  
Time Derivative ◽  
Optical Path ◽  
Moving Medium ◽  
Perturbation Theorem ◽  
Hamiltonian Theory ◽  
The Doppler Effect ◽  
Definition Of

The increase in the accuracy of Doppler measurements in space requires a rigorous definition of the observed quantity when the propagation occurs in a moving, and possibly dispersive medium, like the solar wind. This is usually done in two divergent ways: in the phase viewpoint it is the time derivative of the correction to the optical path; in the ray viewpoint the signal is obtained form the deflection produced in the ray. They can be reconciled by using the time derivative of the optical path in the Lagrangian sense, i.e. differentiating from ray to ray. To rigorously derive this result an understanding, through relativistic Hamiltonian theory, of the delicate interplay between rays and phase is required; a general perturbation theorem which generalizes the concept of the Doppler effect as a Lagrangian derivative is proved. Relativistic retardation corrections O(v) are obtained, well within the expected sensitivity of Doppler experiments near solar conjunction.

A perturbation method and the limit-point case of even order symmetric differential expressions

1983 ◽  
Vol 94 (1-2) ◽  
pp. 121-135 ◽  
Author(s):  
Bernhard Mergler ◽  
Bernd Schultze
Keyword(s):  
Perturbation Method ◽  
Fourth Order ◽  
Limit Point ◽  
Perturbation Theorem ◽  
Order Case ◽  
Even Order ◽  
Limit Point Case ◽  
New Perturbation ◽  
Bounded Perturbations

SynopsisWe give a new perturbation theorem for symmetric differential expressions (relatively bounded perturbations, with relative bound 1) and prove with this theorem a new limit-point criterion generalizing earlier results of Schultze. We also obtain some new results in the fourth-order case.

On accretive operators in cones of Banach spaces

1996 ◽  
Vol 27 (10) ◽  
pp. 1125-1135 ◽  
Author(s):  
Chen Yu-Qing
Keyword(s):  
Banach Spaces ◽  
Accretive Operators
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