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 1914
In sharp contrast with some of the most innocent looking boundary value
problems associated with perturbed operators ... can be most scabrous , the
convolution kernel giving the solution to the Cauchy initial value problem of
Theorem XV .
In sharp contrast with some of the most innocent looking boundary value
problems associated with perturbed operators ... can be most scabrous , the
convolution kernel giving the solution to the Cauchy initial value problem of
Theorem XV .
Page 1927
formulation of the spectral reduction problem may be seen by considering the
case T = 1 . Since I commutes with every projection , the above reduction
problem stated for I would be : find all projections in X . This problem , while
interesting in ...
formulation of the spectral reduction problem may be seen by considering the
case T = 1 . Since I commutes with every projection , the above reduction
problem stated for I would be : find all projections in X . This problem , while
interesting in ...
Page 2059
The basic problem of Babylonian lunar theory was their calendar , which defined
the beginning of each “ month ” as the instant when the new crescent moon was
first visible after sunset ; the specific problem was the determination of which ...
The basic problem of Babylonian lunar theory was their calendar , which defined
the beginning of each “ month ” as the instant when the new crescent moon was
first visible after sunset ; the specific problem was the determination of which ...
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Contents
SPECTRAL OPERATORS XV Spectral Operators | 1924 |
Introduction | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
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analytic apply arbitrary assumed B-space Banach space Boolean algebra Borel sets boundary conditions bounded bounded Borel bounded operator Chapter clear clearly closure commuting compact complex consider constant contained converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established example exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear linear operator manifold Math Moreover multiplicity norm positive preceding present problem projections PROOF properties prove range regular resolution resolvent respectively restriction Russian satisfies scalar type seen sequence shown shows spectral measure spectral operator spectrum statement strongly subset subspace sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector weakly zero