Linear Operators, Part 2 |
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Page 861
Clearly if x - 1 exists then T : -17 . = T , T : -1 = 1 . If T ; ' exists in B ( x ) , then Tc T_TX T { [ ( T = y ) z ] yz , ( T7'y ) z = T ?? ( yz ) , and if a Tile , then az = T : lz for every ze X. Also T : ' ( Tze ) = T ...
Clearly if x - 1 exists then T : -17 . = T , T : -1 = 1 . If T ; ' exists in B ( x ) , then Tc T_TX T { [ ( T = y ) z ] yz , ( T7'y ) z = T ?? ( yz ) , and if a Tile , then az = T : lz for every ze X. Also T : ' ( Tze ) = T ...
Page 1057
By Lemma 2 , the integral ( tu ) exists if ( u ) exists and t > 0 ; and the integral 0 ( Vu ) exists and equals PS 2 ( x ) ei ( x , Vu ) dx S. 2 ( Vy ) \ y \ " e ( 9,4 ) du En lar " JE " if PSen 2 ( Vy ) \ y | - " pilv , u ) dy exists ...
By Lemma 2 , the integral ( tu ) exists if ( u ) exists and t > 0 ; and the integral 0 ( Vu ) exists and equals PS 2 ( x ) ei ( x , Vu ) dx S. 2 ( Vy ) \ y \ " e ( 9,4 ) du En lar " JE " if PSen 2 ( Vy ) \ y | - " pilv , u ) dy exists ...
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 T CT ,. I 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 T CT ,. I is called the closure of T. ( a ) There exists a densely defined ...
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Contents
BAlgebras | 859 |
Bounded Normal Operators in Hilbert Space | 887 |
Miscellaneous Applications | 937 |
Copyright | |
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