Linear Operators, Part 2 |
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Page 1215
Q.E.D. Using the notation of the preceding proof we let F ( Uf ) , so that , by Lemma 9 , 11 > S " . ( Uf ) , ( 2 ) Wall . , 294a ( da ) = E ( [ –n , n ] ) F ( T ) a a ) ma [ - , ] ) → F ( T ) a = U.F = fa . N Thus the integral 8.
Q.E.D. Using the notation of the preceding proof we let F ( Uf ) , so that , by Lemma 9 , 11 > S " . ( Uf ) , ( 2 ) Wall . , 294a ( da ) = E ( [ –n , n ] ) F ( T ) a a ) ma [ - , ] ) → F ( T ) a = U.F = fa . N Thus the integral 8.
Page 1480
By Lemma 51 there are an infinite number of points in o ( T ) below no . Thus it follows from Corollary 24 ( c ) and Lemma 21 that un → 10 . That Pn is unique and has exactly n - 1 zeros is proved just as in the preceding theorem .
By Lemma 51 there are an infinite number of points in o ( T ) below no . Thus it follows from Corollary 24 ( c ) and Lemma 21 that un → 10 . That Pn is unique and has exactly n - 1 zeros is proved just as in the preceding theorem .
Page 1771
Statement ( i ) follows from the preceding theorem and Theorem 6.23 . Statement ( ii ) follows from statement ( ii ) of the preceding theorem , since a function satisfying the hypotheses of ...
Statement ( i ) follows from the preceding theorem and Theorem 6.23 . Statement ( ii ) follows from statement ( ii ) of the preceding theorem , since a function satisfying the hypotheses of ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
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