Linear Operators: Spectral theory |
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Page 995
Let h be in L ( R ) with himo ) ( = 1 and h : vanishing on an open set containing the remainder of olt * ) . It follows from Lemma 12 that the set ( h * f * ° ) contains at most the single point m , and hence , from Theorem 16 and Lemma ...
Let h be in L ( R ) with himo ) ( = 1 and h : vanishing on an open set containing the remainder of olt * ) . It follows from Lemma 12 that the set ( h * f * ° ) contains at most the single point m , and hence , from Theorem 16 and Lemma ...
Page 996
From Lemma 12 ( b ) it is seen that olf * ) Cole ) and from Lemma 12 ( c ) and the equation if = tf it follows that olf * q ) contains no interior point of o ( q ) . Hence of * v ) is a closed subset of the boundary of o ( q ) .
From Lemma 12 ( b ) it is seen that olf * ) Cole ) and from Lemma 12 ( c ) and the equation if = tf it follows that olf * q ) contains no interior point of o ( q ) . Hence of * v ) is a closed subset of the boundary of o ( q ) .
Page 1397
The method of proof is the following : it will be shown that if the theorem is false , then a proper symmetric extension T , of T can be constructed whose domain properly contains both D ( T ) and the null - space of T * .
The method of proof is the following : it will be shown that if the theorem is false , then a proper symmetric extension T , of T can be constructed whose domain properly contains both D ( T ) and the null - space of T * .
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Contents
BAlgebras | 859 |
Commutative BAlgebras | 868 |
Commutative BAlgebras | 874 |
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