Linear Operators: Spectral operators |
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Page 1931
Of course it is not clear to begin with that a countably additive resolution of the
identity defined on the Borel sets of the plane is uniquely determined by the
spectral operator T . This is the case , but until it is proved we refer to any such
spectral ...
Of course it is not clear to begin with that a countably additive resolution of the
identity defined on the Borel sets of the plane is uniquely determined by the
spectral operator T . This is the case , but until it is proved we refer to any such
spectral ...
Page 2053
In the examples of Theorems 19 and 21 we did not appeal to the general theory ,
as it was clear from the form of exp t that T ( t ) o was differentiable for t > 0 and
an arbitrary q in H ” . It is even clear that the nth order derivative T ' ( n ) ( t ) exists
...
In the examples of Theorems 19 and 21 we did not appeal to the general theory ,
as it was clear from the form of exp t that T ( t ) o was differentiable for t > 0 and
an arbitrary q in H ” . It is even clear that the nth order derivative T ' ( n ) ( t ) exists
...
Page 2159
It is clear that the union of intervals of constancy is open . ... It is clear from the
second expression for yn that it is closed , and it follows from ( G ) that every point
in y is in one of the sets Yn . Thus , by the Baire category theorem ( cf . 1 . 6 .
It is clear that the union of intervals of constancy is open . ... It is clear from the
second expression for yn that it is closed , and it follows from ( G ) that every point
in y is in one of the sets Yn . Thus , by the Baire category theorem ( cf . 1 . 6 .
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Bibliographic information
| Title | Linear Operators: Spectral operators Part 3 of Linear Operators, Jacob T. Schwartz Volume 7 of Pure & Applied Mathematics : a Wiley-interscience series of texts, monographs & tracts Volume 7 of Pure and applied mathematics : a series of texts and monographs Volume 7 of Pure and applied mathematics Interscience Press Pure and applied mathematics, ISSN 0079-8185 Wiley classics library |
| Authors | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle |
| Editors | William G. Bade, Robert G. Bartle |
| Contributor | Karreman Mathematics Research Collection |
| Edition | reprint |
| Publisher | Interscience Publishers, 1958 |
| ISBN | 0471226394, 9780471226390 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |