Linear Operators: Spectral theory |
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Page 1469
Thus statement ( a ) follows immediately from the preceding Jemma . To prove statement ( b ) , note that r is finite below 20 , but not below any > 20. Statement ( b ) then follows immediately from the preceding lemma .
Thus statement ( a ) follows immediately from the preceding Jemma . To prove statement ( b ) , note that r is finite below 20 , but not below any > 20. Statement ( b ) then follows immediately from the preceding lemma .
Page 1474
By the remark ( a ) made preceding Lemma 41 , 0 < ( 1–42 ) [ 0 ( t , 2. ) ... It follows immediately from the preceding lemma that if h1 , h2 € Jm , and h , < a < h2 , then à € Jn . Thus Jn is an interval . Our second assertion follows ...
By the remark ( a ) made preceding Lemma 41 , 0 < ( 1–42 ) [ 0 ( t , 2. ) ... It follows immediately from the preceding lemma that if h1 , h2 € Jm , and h , < a < h2 , then à € Jn . Thus Jn is an interval . Our second assertion follows ...
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 the present statement ( ii ) evidently ( cf.
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 the present statement ( ii ) evidently ( cf.
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Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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