Linear Operators, Part 2 |
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Page 1378
Pis a matrix measure { ê is } , i , i 1 , k of Theorem 23 is unique , and = Pij , i , j = 1 , ... , k ; Pis = 0 , if i > k or ; > k . ; 0 k Proof . Suppose that 01 , ... , 07 is a determining set for T. Then it is evident from Theorem ...
Pis a matrix measure { ê is } , i , i 1 , k of Theorem 23 is unique , and = Pij , i , j = 1 , ... , k ; Pis = 0 , if i > k or ; > k . ; 0 k Proof . Suppose that 01 , ... , 07 is a determining set for T. Then it is evident from Theorem ...
Page 1379
a { is } is the matrix measure of Theorem 23 , the values Pij ( e ) are uniquely determined for each e C N. Since 1 is the union of a sequence of neighborhoods of the same type as N , the uniqueness of { ộis } follows immediately .
a { is } is the matrix measure of Theorem 23 , the values Pij ( e ) are uniquely determined for each e C N. Since 1 is the union of a sequence of neighborhoods of the same type as N , the uniqueness of { ộis } follows immediately .
Page 1904
IV.15 Alexandroff theorem on gence of measures , IV.9.15 ( 316 ) Arzela theorem continuous limits , IV.6.11 ( 268 ) Banach theorem for operators into Egoroff theorem on a.e. and y - uniform convergence , I11.6.12 ( 149 ) Fatou theorem ...
IV.15 Alexandroff theorem on gence of measures , IV.9.15 ( 316 ) Arzela theorem continuous limits , IV.6.11 ( 268 ) Banach theorem for operators into Egoroff theorem on a.e. and y - uniform convergence , I11.6.12 ( 149 ) Fatou theorem ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
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