Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |
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Page 861
If to exists in B ( X ) , then T.-T. = ) Tx [ ( Ta'y ) x ] = yz , ( To'y ) z = T ; ' ( yz ) , and if a = Tile ... An element æ in a B - algebra X is said to be regular in case x - 1 exists in X. It is singular if it is not regular .
If to exists in B ( X ) , then T.-T. = ) Tx [ ( Ta'y ) x ] = yz , ( To'y ) z = T ; ' ( yz ) , and if a = Tile ... An element æ in a B - algebra X is said to be regular in case x - 1 exists in X. It is singular if it is not regular .
Page 1057
By Lemma 2 , the integral 0 ( tu ) exists if 0 ( u ) exists and t > 0 ; and the integral 0 ( Vu ) exists and equals PS S. 14 ) en 1x ! En 12 ( x ) 2 ( Vy ) ei ( x , Vu ) dx eily , u ) dy \ y \ " if Plen2 ( Vy ) \ y - n pilv , u ) dy ...
By Lemma 2 , the integral 0 ( tu ) exists if 0 ( u ) exists and t > 0 ; and the integral 0 ( Vu ) exists and equals PS S. 14 ) en 1x ! En 12 ( x ) 2 ( Vy ) ei ( x , Vu ) dx eily , u ) dy \ y \ " if Plen2 ( Vy ) \ y - n pilv , u ) dy ...
Page 1261
23 If an operator T has a closed linear extension there exists a unique closed linear extension T such that if T , is any closed linear , extension of T then I CT , T is called the closure of T. ( a ) There exists a densely defined ...
23 If an operator T has a closed linear extension there exists a unique closed linear extension T such that if T , is any closed linear , extension of T then I CT , T is called the closure of T. ( a ) There exists a densely defined ...
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