English translation for "reflexive banach space"
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- 自反巴拿赫空间
Related Translations:
- Example Sentences:
| 1. | Existence of the solutions of the variational inequality problem with a maximal monotone set - valued map on a reflexive banach space
空间中极大单调集值映射变分不等式的解的存在性 | | 2. | Reich [ 2 ] proved the ergodic theorems to nonexpansive semigroups in hilbert spaces . takahashi and zhang [ 3 ] , tan and xu [ 4 ] extended baillon ' s theorem to asymptotically nonexpansive and asymptotically nonexpansive type semigroups in hilbert spaces . recently , reich [ 6 ] , bruck [ 5 ] , oka [ 7 ] gave the ergodic convergence theorems for nonexpansive , asymptotically nonexpansive mappings and semigroups in uniformly convex banach spaces with frechet differentiable norm . li and ma [ 13 ] obtained the ergodic convergence theorems for general commutative asymptotically nonexpansive type topological semigroups in reflexive banach space , which is a great breakthrough
Baillon [ 1 ]首先在hilbert空间的非空凸闭子集上给出了非扩张映照的弱遍历收敛定理。 baillon的定理引起了很多数学家的兴趣， reich [ 2 ]在hilbert空间中证明了非扩张半群的遍历收敛定理。 takahashi和zhang [ 3 ] ， tan和xu [ 4 ]分别将baillon的定理推广到渐近非扩张半群及渐近非扩张型半群。 | | 3. | In this paper , we have proved that an anti - bounded c _ ( 0 ) - group in infinite - dimensional reflexive banach spaces is not exponentially stable under generating compact perturbation , and that a c _ ( 0 ) - isometric semigroup in infinite - dimensional hilbert spaces has the same property . so , we have extended and improved russell theorem
在本文中，我们分别证明了无限维自反banach空间中的反有界c _ 0 -群和无限维hilbert空间中的c _ 0 -等距半群在生成的紧扰动下一定不具指数稳定性，从而推广和改进了russell定理。 | | 4. | By using bruck ' s lemma [ 10 ] , passty [ 31 ] extended the results of [ 1 , 16 ] to uniformly convex banach space with a frechet differentiable norm . however , there existed more or less limitations in their methods adopted . by using new techniques , chapter2 of this paper discussed the weak convergence theorem for right reversible semigroup of asymptotically nonexpansive type semigroup and the corresponding theorem for its almost - orbit in the reflexive banach space with a frechet differentiable norm or opial property
Feattieranddotson 16 ]和bose [ l ]通过使用opial引理17 }在具弱连续对偶映照的一致凸b ~ h空间中证明了渐近非扩张映照的弱收敛定理， passty 31通过使用bruck引理10 ]把1 ， 16 ]的结果推广到具freehet可微范数的一致凸banach空间，然而，他们的证明存在着种种局限性。 | | 5. | Chapter 2 of this paper , by using a new method of proof , we obtain the weak ergodic convergence theorem for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space . by theorem 2 . 1 of chapter 1 we get the weak ergodic convergence theorem of almost orbit for general semigroups of asymptotically nonexpansive type semigroups in reflexive banach space . by this method of proof , we give the weak ergodic convergence theorems for right reversible semigroups . by theorem 2 . 1 of chapter l , we generalize the result to almost orbit case . so we can remove a key supposition that almost orbit is almost asymptotically isometric . it includes all commutative semigroups cases . baillon [ 8 ] , hirano and takahashi [ 9 ] gave nonlinear retraction theorems for nonexpansive semigroups . recently mizoguchi and takahashi [ 10 ] proved a nonlinear ergodic retraction theorem for lipschitzian semigroups . hirano and kido and takahashi [ 11 ] , hirano [ 12 ] gave nonlinear retraction theorems for nonexpansive mappings in uniformly convex banach spaces with frechet differentiable norm . . in 1997 , li and ma [ 16 ] proved the ergodic retraction theorem for general semitopological semigroups in hilbert space without the conditions that the domain is closed and convex , which greatly extended the fields of applications of ergodic theory . chapter 2 of this paper , we obtain the ergodic retraction theorem for general semigroups and almost orbits of asymptotically nonexpansive type semigroups in reflexive banach spaces . and we give the ergodic retraction theorem for almost orbits of right reversible semitopological semigroups
近年来， bruck [ 5 ] ， reich [ 6 ] ， oka [ 7 ]等在具frechet可微范数的一致凸banach空间中给出了非扩张及渐近非扩张映射及半群的遍历收敛定理。 li和ma [ 13 ]在具frechet可微范数的自反banach空间中给出了一般交换渐近非扩张型拓扑半群的遍历收敛定理，这是一个重大突破。本文第二章用一种新的证明方法在自反banach空间中，研究了扬州大学硕士学位论文2一般半群上的( r )类渐近非扩张型半群的弱遍历收敛定理，即:定理3 . 1设x是具性质( f )的实自反banach空间， c是x的非空有界闭凸子集， g为含单位元的一般半群， s =仕工， 。 |
- Similar Words：
- "reflexionless connection" English translation, "reflexive" English translation, "reflexive action" English translation, "reflexive and transitive closure" English translation, "reflexive asthma" English translation, "reflexive bronchoconstrictor" English translation, "reflexive closure" English translation, "reflexive command" English translation, "reflexive contraction" English translation, "reflexive cough" English translation
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