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 1960
sum HP of a Hilbert space H with itself p times whose matrix representation P ( ayy ) has , for its elements , the operators diy which all belong to a commutative B * -algebra A of operators on H. Only a few basic properties of the ...
sum HP of a Hilbert space H with itself p times whose matrix representation P ( ayy ) has , for its elements , the operators diy which all belong to a commutative B * -algebra A of operators on H. Only a few basic properties of the ...
Page 1966
Just as was the case with eB ( S , ) the elements of the algebra û are equivalence classes where two matrices A and B are equivalent if  ( s ) = ( 8 ) B for e - almost all 8 in S. For a given matrix  ...
Just as was the case with eB ( S , ) the elements of the algebra û are equivalence classes where two matrices A and B are equivalent if  ( s ) = ( 8 ) B for e - almost all 8 in S. For a given matrix  ...
Page 2512
On the completeness of a system of eigen - elements and adjoined elements of nonselfadjoint operators close to normal ones . Doklady Akad . Nauk SSSR 115 , 207–210 ( 1957 ) . ( Russian ) Math . Rev. 20 # 1227 , 205 ( 1959 ) . 2.
On the completeness of a system of eigen - elements and adjoined elements of nonselfadjoint operators close to normal ones . Doklady Akad . Nauk SSSR 115 , 207–210 ( 1957 ) . ( Russian ) Math . Rev. 20 # 1227 , 205 ( 1959 ) . 2.
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Contents
SPECTRAL OPERATORS | 1924 |
Introduction | 1927 |
Terminology and Preliminary Notions | 1929 |
Copyright | |
47 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 defined Definition denote dense determined differential operator domain elements equation equivalent established exists extension 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 |