Linear Operators: Spectral theory |
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Page 1061
14 ) and Hölder ' s inequality , and the theorem is proved for all p , 1 < p < 0 . Q . E
. D . Having proved the basic inequality of M . Riesz , we now proceed to prove
the full inequality of Calderón and Zygmund . Our first step is to put the result of ...
14 ) and Hölder ' s inequality , and the theorem is proved for all p , 1 < p < 0 . Q . E
. D . Having proved the basic inequality of M . Riesz , we now proceed to prove
the full inequality of Calderón and Zygmund . Our first step is to put the result of ...
Page 1105
We now pause to sharpen another of the inequalities of Lemma 9 . ... the
continuity of the product TS which was noted in the paragraph following Lemma 9
, the continuity of the norm function which follows from the triangle inequality of
Lemma ...
We now pause to sharpen another of the inequalities of Lemma 9 . ... the
continuity of the product TS which was noted in the paragraph following Lemma 9
, the continuity of the norm function which follows from the triangle inequality of
Lemma ...
Page 1774
The above inequality , known as the Schwarz inequality , will be proved first . It
follows from the postulates for H that the Schwarz inequality is valid if either x or y
is zero . Hence suppose that * # 0 # y . For an arbitrary complex number a 0 = ( x
...
The above inequality , known as the Schwarz inequality , will be proved first . It
follows from the postulates for H that the Schwarz inequality is valid if either x or y
is zero . Hence suppose that * # 0 # y . For an arbitrary complex number a 0 = ( x
...
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Contents
IX | 859 |
Eigenvalues and Eigenvectors | 903 |
Spectral Representation | 911 |
Copyright | |
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