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 2532
Criteria for one - sided reversibility of elements of normed rings and their appli .
cations . Doklady Akad . Nauk SSSR 145 , 971 – 974 ( 1962 ) . ( Russian ) Math .
Rev . 27 # 6147 , 1175 ( 1964 ) . The factorization problem for operator functions .
Criteria for one - sided reversibility of elements of normed rings and their appli .
cations . Doklady Akad . Nauk SSSR 145 , 971 – 974 ( 1962 ) . ( Russian ) Math .
Rev . 27 # 6147 , 1175 ( 1964 ) . The factorization problem for operator functions .
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( Russian ) Math . Rev . 15 , 720 ( 1954 ) . 22 . Criteria for completeness of the
system of root vectors of a dissipative operator . Uspehi Mat . Nauk 14 , no . 3 ( 87
) , 145 – 152 ( 1959 ) . ( Russian ) Math . Rev . 22 # 9856 ( 1961 ) . Amer . Math .
( Russian ) Math . Rev . 15 , 720 ( 1954 ) . 22 . Criteria for completeness of the
system of root vectors of a dissipative operator . Uspehi Mat . Nauk 14 , no . 3 ( 87
) , 145 – 152 ( 1959 ) . ( Russian ) Math . Rev . 22 # 9856 ( 1961 ) . Amer . Math .
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( Russian ) Math . Rev . 33 # 4680 , 792 ( 1967 ) . 6 . Expansion in characteristic
functions of a non - selfadjoint differential operator with spectral singularities .
Doklady Akad . Nauk SSSR 149 , 256 – 259 ( 1963 ) . ( Russian ) Soviet Math .
Dokl .
( Russian ) Math . Rev . 33 # 4680 , 792 ( 1967 ) . 6 . Expansion in characteristic
functions of a non - selfadjoint differential operator with spectral singularities .
Doklady Akad . Nauk SSSR 149 , 256 – 259 ( 1963 ) . ( Russian ) Soviet Math .
Dokl .
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
28 other sections not shown
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Common terms and phrases
adjoint operator Amer analytic apply arbitrary assumed B-space Banach space belongs Boolean algebra Borel set boundary conditions bounded bounded operator Chapter clear closed commuting compact complex constant contains continuous converges Corollary corresponding countably additive defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension fact finite follows formal formula given gives Hence Hilbert space hypothesis identity inequality integral invariant inverse Lemma limit linear operator Math Moreover multiplicity norm perturbation plane positive preceding present problem projections PROOF properties prove range resolution resolvent restriction Russian satisfies scalar type seen sequence shown shows similar solution spectral measure spectral operator spectrum subset sufficiently Suppose Theorem theory topology unbounded uniformly unique valued vector 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 |