Linear operators. 2. Spectral theory : self adjoint operators in Hilbert Space |
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Page 1669
Let M : 11 +1 , be a mapping of l , into 1 , such that ( a ) M - 1C is a compact subset of I , whenever C is a compact subset of I , ; ( b ) ( M ( - ) ) , e Co ( 11 ) , Then ( i ) for each g in Co ( 12 ) , po M will denote the function ...
Let M : 11 +1 , be a mapping of l , into 1 , such that ( a ) M - 1C is a compact subset of I , whenever C is a compact subset of I , ; ( b ) ( M ( - ) ) , e Co ( 11 ) , Then ( i ) for each g in Co ( 12 ) , po M will denote the function ...
Page 1671
If F corresponds to the function f , we have k ( Fo M - ) ( 0 ) = F ( po M ) = 5+ ( x ) p ( M ( x ) ) dx = St ( M - 1 ( x ) ) p ( x ) J ( x ) dx , J denoting the absolute value of the Jacobian determinant of the mapping x → M - 1 ( x ) ...
If F corresponds to the function f , we have k ( Fo M - ) ( 0 ) = F ( po M ) = 5+ ( x ) p ( M ( x ) ) dx = St ( M - 1 ( x ) ) p ( x ) J ( x ) dx , J denoting the absolute value of the Jacobian determinant of the mapping x → M - 1 ( x ) ...
Page 1707
Hence , by Lemma 3.41 , tota is a continuous mapping with a continuous inverse of H k + P ) ( C ) onto H * ) ( C ) , for all k between oo and too . Let Ve and Űk be the norms of the map to + : H6k + P ) ( C ) → H ( C ) Hľk and of its ...
Hence , by Lemma 3.41 , tota is a continuous mapping with a continuous inverse of H k + P ) ( C ) onto H * ) ( C ) , for all k between oo and too . Let Ve and Űk be the norms of the map to + : H6k + P ) ( C ) → H ( C ) Hľk and of its ...
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