St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
84 sonuçtan 1-3 arası sonuçlar
Sayfa 40
... bounded operator on H ° ( N ) 1 by the formula ( 3.10 ) ( cf. ( 2.18 ) ) . M ( z ) = { | V | 1 / 2 | Lo | -1/2 } ... bounded operator in L2 ( N ) 4 , and M2 ( z ) and M3 ( z ) extend to bounded operators in L2 ( R3 ) 4 . As functions of z ...
... bounded operator on H ° ( N ) 1 by the formula ( 3.10 ) ( cf. ( 2.18 ) ) . M ( z ) = { | V | 1 / 2 | Lo | -1/2 } ... bounded operator in L2 ( N ) 4 , and M2 ( z ) and M3 ( z ) extend to bounded operators in L2 ( R3 ) 4 . As functions of z ...
Sayfa 42
... bounded as well . Now we verify that T2 ( z ) can be extended to a bounded operator from H ° ( N ) 4 to H ° ( T ) and that its norm tends to zero as z = is , s∞ . Since yy . same function we have = 0 , with the ( 3.24 ) T2 ( z ) = ÞyP ...
... bounded as well . Now we verify that T2 ( z ) can be extended to a bounded operator from H ° ( N ) 4 to H ° ( T ) and that its norm tends to zero as z = is , s∞ . Since yy . same function we have = 0 , with the ( 3.24 ) T2 ( z ) = ÞyP ...
Sayfa 225
... bounded on L2 with the bound |||| L2 CA1 || --H1 -1 .9 A1 1 by Lemma 5.2 , and ( 5.20 ) and similarly for 9. Moreover , the quantities || A1 || H - 1 - Ħ1 , € ≥0 , are bounded uniformly in e . - = Proof . To show that the operator A ...
... bounded on L2 with the bound |||| L2 CA1 || --H1 -1 .9 A1 1 by Lemma 5.2 , and ( 5.20 ) and similarly for 9. Moreover , the quantities || A1 || H - 1 - Ħ1 , € ≥0 , are bounded uniformly in e . - = Proof . To show that the operator A ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transl true unique values vector vertex vertices zero