St. Petersburg Mathematical Journal, 12. cilt,1-505. sayfalarAmerican Mathematical Society, 2001 |
Kitabın içinden
82 sonuçtan 1-3 arası sonuçlar
Sayfa 476
... ( respectively , im L. ) ( M ) ) relative to the norm of U ( respectively , F ) . Lemma 2.5 . If M is weakly ( L , p ) -radial , then : +1 ( i ) limu + ( μRL ( M ) ) P + 1u = u , u € U1 ; ( ii ) lim , + ( μL ( M ) ) p + 1ƒ = ƒ , ƒ EF1 ...
... ( respectively , im L. ) ( M ) ) relative to the norm of U ( respectively , F ) . Lemma 2.5 . If M is weakly ( L , p ) -radial , then : +1 ( i ) limu + ( μRL ( M ) ) P + 1u = u , u € U1 ; ( ii ) lim , + ( μL ( M ) ) p + 1ƒ = ƒ , ƒ EF1 ...
Sayfa 482
Theorem 4.1 . If the space U ( respectively , F ) is reflexive and the operator M is weakly ( L , p ) -radial , then U = U ° U1 ( respectively , F = Fo | F1 ) . Proof . Let uЄ U be an arbitrary vector . Since U is reflexive , and the ...
Theorem 4.1 . If the space U ( respectively , F ) is reflexive and the operator M is weakly ( L , p ) -radial , then U = U ° U1 ( respectively , F = Fo | F1 ) . Proof . Let uЄ U be an arbitrary vector . Since U is reflexive , and the ...
Sayfa 483
... ( respectively , u ( respectively , MuMPu € U1 ( ƒ € F1 ) if and only if u = Pu ( respectively , ƒ = Qƒ ) . dom M1 ) . By Corollary 4.1 , we have Lu LPu = QLu = QMu ) . It remains to show that dom Mo = U ° , dom M1 = u ° , dom M1 = U1 ...
... ( respectively , u ( respectively , MuMPu € U1 ( ƒ € F1 ) if and only if u = Pu ( respectively , ƒ = Qƒ ) . dom M1 ) . By Corollary 4.1 , we have Lu LPu = QLu = QMu ) . It remains to show that dom Mo = U ° , dom M1 = u ° , dom M1 = U1 ...
İçindekiler
2000 вып 1 Vol 12 2001 No | 2 |
Cohomology of isotropic flag varieties | 19 |
10 Varieties of ideals | 28 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
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algebra analytic apply assume asymptotic Banach space basis belongs boundary bounded called coefficients coincides commutative complete component condition configuration Consequently consider construct contains continuous convergence corresponding cubes defined definition denote determined diagram direct domain eigenvalues elements entire equal equation equivalent estimate exists extension fact field finite fixed formal formula function geometry given homomorphism identity implies inequality integral introduce invariant involution isomorphism journals Lemma linear Math Mathematical matrix means module Moreover multiplication natural norm obtain operator particular polynomial positive problem projection Proof properties Proposition prove proximate order quadratic relation relative Remark representation respectively restriction result ring satisfies sequence similar smooth solution space statement Subsection subspace Suppose Theorem theory variety vector