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70 sonuçtan 1-3 arası sonuçlar
Sayfa 79
... group rm ( q ) under the canonical isomorphism iq from ( 1 , Lemma 3 . 3 . 26 ) .
Compute the image of ri ( p ) under the map ( 2 . 5 ) . According to the definitions ,
the image of ri ( p ) under the spherical mapping Niq ( see ( 1 , Subsection 3 .
... group rm ( q ) under the canonical isomorphism iq from ( 1 , Lemma 3 . 3 . 26 ) .
Compute the image of ri ( p ) under the map ( 2 . 5 ) . According to the definitions ,
the image of ri ( p ) under the spherical mapping Niq ( see ( 1 , Subsection 3 .
Sayfa 341
According to the choice of m , we have t ( 8 ) = xm . Clearly , TA ; ( a , b ) = Aq ( ) (
ta , tb ) . Therefore ag ( Tu ) = ægl { ta , tb } ) = ( Az ( ta , tb ) ] = m ( Axm ( Ta , tb ) ]
= M [ A4 ( E ) ( ta , tb ) ] = m [ TAz ( a , b ) ] = mtaq ( u ) = taq ( mu ) . Corollary .
According to the choice of m , we have t ( 8 ) = xm . Clearly , TA ; ( a , b ) = Aq ( ) (
ta , tb ) . Therefore ag ( Tu ) = ægl { ta , tb } ) = ( Az ( ta , tb ) ] = m ( Axm ( Ta , tb ) ]
= M [ A4 ( E ) ( ta , tb ) ] = m [ TAz ( a , b ) ] = mtaq ( u ) = taq ( mu ) . Corollary .
Sayfa 639
In view of the above lemma , the function 8 H18 is negative definite . According to
the criterion of Akemann and Walter , this function is bounded . Hence the orbit pr
is bounded and , consequently , so is the R - tree T ' spanned by pl .
In view of the above lemma , the function 8 H18 is negative definite . According to
the criterion of Akemann and Walter , this function is bounded . Hence the orbit pr
is bounded and , consequently , so is the R - tree T ' spanned by pl .
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İçindekiler
A N Andrianov Factorizations of integral representations of binary | 71 |
Bizhanova and V A Solonnikov Solvability of an initialboundary | 97 |
Birman and M Solomyak On the main singularities of the electric | 125 |
Telif Hakkı | |
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according action algebra apply arbitrary assume assumptions asymptotic automorphism Banach space belongs boundary bounded called classical Clearly closed compact complete condition consider consists constant construct contains continuous Corollary corresponding curve defined definition denote depend derive determined direct domain element English transl equal equation equivalent estimate example exists extension fact field finite fixed formula function give given graph Hecke Hence holds identity implies inequality integral introduce isomorphic Lemma Lie algebra limit linear Math Mathematical matrix means measure method Moreover neighborhood obtain operator polynomial positive problem Proof properties Proposition prove relation Remark representation representatives respect Riemann ring satisfying sequence smooth solution space statement subgroup sufficiently surface Theorem theory transform tree unique values vector