Linear Operators, Part 2 |
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Page 1302
Corollary 23 and from Theorems 19 and 20 that d ' and d ' exceed by n the number of independent boundary values at a and at b respectively . The statement of the present corollary is then evident . Q.E.D. + + + 26 COROLLARY .
Corollary 23 and from Theorems 19 and 20 that d ' and d ' exceed by n the number of independent boundary values at a and at b respectively . The statement of the present corollary is then evident . Q.E.D. + + + 26 COROLLARY .
Page 1326
for all solutions of ( 1-1 ) 0 = 0 ( ( 7 * -I ) 0 = 0 ) which are squareintegrable in a neighborhood of a and b respectively , and which satisfy the boundary conditions at a and at b respectively . Then the resolvent R ( 2 ; T ) = ( 21 ...
for all solutions of ( 1-1 ) 0 = 0 ( ( 7 * -I ) 0 = 0 ) which are squareintegrable in a neighborhood of a and b respectively , and which satisfy the boundary conditions at a and at b respectively . Then the resolvent R ( 2 ; T ) = ( 21 ...
Page 1548
7 = 1 2 - τ extensions of S and Ŝ respectively , and let 2n ( T ) and 2n ( Îy ) be the numbers defined for the self adjoint operators T and Î as in Exercise D2 . Show that 2n ( T ) 22 ( ) , n 2 1 . Dil Let T , be a self adjoint operator ...
7 = 1 2 - τ extensions of S and Ŝ respectively , and let 2n ( T ) and 2n ( Îy ) be the numbers defined for the self adjoint operators T and Î as in Exercise D2 . Show that 2n ( T ) 22 ( ) , n 2 1 . Dil Let T , be a self adjoint operator ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
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