Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 |
From inside the book
Results 1-3 of 52
Page 1925
The problem of extending this reduction theory to non - normal operators is one
of the most important unsolved problems in the theory of linear operations .
Consider , for instance , the problem of finding a resolution of the identity for the
formal ...
The problem of extending this reduction theory to non - normal operators is one
of the most important unsolved problems in the theory of linear operations .
Consider , for instance , the problem of finding a resolution of the identity for the
formal ...
Page 1978
To illustrate more clearly the relationship between Theorem 6 and the well known
result for self adjoint operators , we observe that a self adjoint operator or , more
generally , a normal operator in AP is a spectral operator . For if A is a normal ...
To illustrate more clearly the relationship between Theorem 6 and the well known
result for self adjoint operators , we observe that a self adjoint operator or , more
generally , a normal operator in AP is a spectral operator . For if A is a normal ...
Page 2005
where h is Hilbert ' s singular integral ( 34 ) , is an operator in A which is not self
adjoint , and not normal unless il a - b ) is self adjoint but is , for many choices of a
and b , a spectral operator . To see this , equation ( 35 ) shows that the condition
...
where h is Hilbert ' s singular integral ( 34 ) , is an operator in A which is not self
adjoint , and not normal unless il a - b ) is self adjoint but is , for many choices of a
and b , a spectral operator . To see this , equation ( 35 ) shows that the condition
...
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Bibliographic information
| Title | Linear Operators: Spectral Theory : Self Adjoint Operators in Hilbert Space, Volume 2 Volume 7 of Pure and applied mathematics |
| Authors | Nelson Dunford, Jacob Theodore Schwartz |
| Publisher | Wiley Interscience, 1963 |
| Original from | the University of Michigan |
| Digitized | 2 Feb 2010 |
| ISBN | 0471226394, 9780471226390 |
| Length | 2592 pages |
| Export Citation | BiBTeX EndNote RefMan |