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Sayfa 501
Another important result that can be established in the same way as in the case
of finite matrix functions is that , under the assumption ( 4.1 ) , the operator
functions and E are left - invertible in H® ( see ( PT2 ] or [ Pe2 , Chapter 14 , $ 4 ] )
.
Another important result that can be established in the same way as in the case
of finite matrix functions is that , under the assumption ( 4.1 ) , the operator
functions and E are left - invertible in H® ( see ( PT2 ] or [ Pe2 , Chapter 14 , $ 4 ] )
.
Sayfa 504
If || Holle < 01 , we can apply Theorem 5.2 to the matrix function Y. Now if || Holle
< 02 , then || H « lle < 02 by ( 5.5 ) , and so we can continue this process and
obtain the following result in exactly the same way as in the case of finite matrix ...
If || Holle < 01 , we can apply Theorem 5.2 to the matrix function Y. Now if || Holle
< 02 , then || H « lle < 02 by ( 5.5 ) , and so we can continue this process and
obtain the following result in exactly the same way as in the case of finite matrix ...
Sayfa 506
VERY BADLY APPROXIMABLE FUNCTIONS In this section we obtain a
necessary and sufficient condition for an admissible infinite matrix function to be
very badly approximable . Let Me Lo ( B ( l2 ) ) . Put ta ( 9 ) = lim t ; ( 0 ) . 3 + 00 As
in the ...
VERY BADLY APPROXIMABLE FUNCTIONS In this section we obtain a
necessary and sufficient condition for an admissible infinite matrix function to be
very badly approximable . Let Me Lo ( B ( l2 ) ) . Put ta ( 9 ) = lim t ; ( 0 ) . 3 + 00 As
in the ...
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İçindekiler
Данилов Л И Об отсутствии собственных значений в спектре | 47 |
A Antipov and A I Generalov The Yoneda algebras of symmetric special | 377 |
A G Bytsko On higher spin U sl2invariant Rmatrices | 393 |
Telif Hakkı | |
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algebraic analytic apply approximation arbitrary argument assume bounded called closed coefficients coincides complete condition connected Consequently consider constant construction contains continuous corresponding covering curves defined definition deformation denote depend determined dimension discrete edges element English equation equivalent estimate exists fact finite fixed formula function given Goursat problem graph identity implies inequality integral introduce invariant lattice Lemma limit linear locally Math Mathematical matrix means measure metric Moreover Note obtain operator parameters particular periodic Phys points polynomial positive potential problem Proof proof of Theorem Proposition prove quantum rational reduced regular relation Remark respectively result satisfies sequence side singular solution space spectrum statement Subsection suffices Suppose Theorem theory transformation unique values vector vertex vertices zero