Linear Operators: Part III: Spectral Operators [by] Nelson Dunford and Jacob T. Schwartz, with the Assistance of William G. Bade and Robert G. Bartle, Volume 1 |
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Page 1926
... a a NEO ( T ) which is not valid for an arbitrary T. To see more clearly the difference between the calculi given by these two formulas , let us rewrite them by introducing the nilpotent N and the resolution of the identity E ...
... a a NEO ( T ) which is not valid for an arbitrary T. To see more clearly the difference between the calculi given by these two formulas , let us rewrite them by introducing the nilpotent N and the resolution of the identity E ...
Page 2031
... an arbitrary 4 in H a sequence { n } co with yn → in H. Since FQ = 0 ( XI.1 ) and F is continuous on H , the inequality ( ii ) shows that FTvn → FT ) . On the other . hand , the preceding equation shows that FT - n = Trun which by ...
... an arbitrary 4 in H a sequence { n } co with yn → in H. Since FQ = 0 ( XI.1 ) and F is continuous on H , the inequality ( ii ) shows that FTvn → FT ) . On the other . hand , the preceding equation shows that FT - n = Trun which by ...
Page 2314
Let ko , k , be arbitrary constants and let T be the unbounded operator in L , ( 0 , 1 ) defined by the formal differential operator t = -d / dt ) 2 and the boundary conditions f ( 0 ) – ko f ' ( 0 ) = 0 , f ( 1 ) – kif ' ( 1 ) = 0 .
Let ko , k , be arbitrary constants and let T be the unbounded operator in L , ( 0 , 1 ) defined by the formal differential operator t = -d / dt ) 2 and the boundary conditions f ( 0 ) – ko f ' ( 0 ) = 0 , f ( 1 ) – kif ' ( 1 ) = 0 .
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
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