Linear Operators, Part 2 |
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Page 1250
Since A is unique , P is uniquely determined on R ( A ) by the equation of P ( Ar ) = Tx . Further the extension of P by continuity from R ( A ) to R ( A ) is unique . Since P is zero on R ( A ) ' it follows that P is uniquely ...
Since A is unique , P is uniquely determined on R ( A ) by the equation of P ( Ar ) = Tx . Further the extension of P by continuity from R ( A ) to R ( A ) is unique . Since P is zero on R ( A ) ' it follows that P is uniquely ...
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 1513
Let Ft be the unique solution of the equation with these same regular singularities and exponents which has the form 2-2 ( 1 + z + ... ) near z a z = 0. Then , since F , and Ft together comprise a basis for the solutions of our equation ...
Let Ft be the unique solution of the equation with these same regular singularities and exponents which has the form 2-2 ( 1 + z + ... ) near z a z = 0. Then , since F , and Ft together comprise a basis for the solutions of our equation ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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