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 2130
1 1 K = { x € V10 S x } is called the positive cone of V ( with respect to 5 ) ; it is easy to see that K satisfies ( i ) K + K SK , ( ii ) AK S K for all de R , 120 , and ( iii ) Kn ( -K ) = { 0 } . Conversely , if K is a subset of V ...
1 1 K = { x € V10 S x } is called the positive cone of V ( with respect to 5 ) ; it is easy to see that K satisfies ( i ) K + K SK , ( ii ) AK S K for all de R , 120 , and ( iii ) Kn ( -K ) = { 0 } . Conversely , if K is a subset of V ...
Page 2564
Quasi - positive operators . Pacific J. Math . 14 , 1029–1037 ( 1964 ) . Sawashima , I. ( see also Niiro , F. ) 1. Some counter examples in the theory of positive operators . Sci . Papers College Gen. Ed . Univ .
Quasi - positive operators . Pacific J. Math . 14 , 1029–1037 ( 1964 ) . Sawashima , I. ( see also Niiro , F. ) 1. Some counter examples in the theory of positive operators . Sci . Papers College Gen. Ed . Univ .
Page 2565
On the point spectrum of positive operators . Proc . Amer . Math . Soc . 15 , 56–60 ( 1964 ) . 15. On the role of order structures in spectral theory . Colloque sur l'Analyse Fonctionnelle , Louvain - Paris ( 1964 ) . 16.
On the point spectrum of positive operators . Proc . Amer . Math . Soc . 15 , 56–60 ( 1964 ) . 15. On the role of order structures in spectral theory . Colloque sur l'Analyse Fonctionnelle , Louvain - Paris ( 1964 ) . 16.
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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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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 |