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 2025
To see this we consider another perturbed Laplacian operator for arbitrary
positive integers p and N . The unperturbed operator is one that gives rise to a set
o ( t ) = 22 V ? ; ( t ) , j = 1 , . . . , p , of diffusion equations which occur in the theory
of ...
To see this we consider another perturbed Laplacian operator for arbitrary
positive integers p and N . The unperturbed operator is one that gives rise to a set
o ( t ) = 22 V ? ; ( t ) , j = 1 , . . . , p , of diffusion equations which occur in the theory
of ...
Page 2065
Thus the Gelfand theory gives a general procedure for determining whether or
not an element possesses an inverse and ... this procedure to a given algebra , it
is sufficient to give a satisfactory representation of its spectrum and the functions
a ...
Thus the Gelfand theory gives a general procedure for determining whether or
not an element possesses an inverse and ... this procedure to a given algebra , it
is sufficient to give a satisfactory representation of its spectrum and the functions
a ...
Page 2510
C . Dolph [ 1 ] gives a survey of the theory of nonselfadjoint problems , with
emphasis on perturbation theory and scattering theory , with a view toward the
physical applications of these theories . Another survey of related areas ,
emphasizing ...
C . Dolph [ 1 ] gives a survey of the theory of nonselfadjoint problems , with
emphasis on perturbation theory and scattering theory , with a view toward the
physical applications of these theories . Another survey of related areas ,
emphasizing ...
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Contents
SPECTRAL OPERATORS XV Spectral Operators | 1924 |
Introduction | 1925 |
Terminology and Preliminary Notions | 1928 |
Copyright | |
32 other sections not shown
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Common terms and phrases
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
Bibliographic information
| Title | 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 Pure and applied mathematics, v. 7 |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Editors | L. Bers, J. J. Stoker |
| Publisher | Wiley-Interscience, 1957 |
| Original from | the University of Michigan |
| Digitized | 2 Feb 2010 |
| ISBN | 0471226394, 9780471226390 |
| Length | 667 pages |
| Export Citation | BiBTeX EndNote RefMan |