| 1. | The properties of am - compact operators
紧算子的控制性质 |
| 2. | Completely compact operator
完全紧算子 |
| 3. | The abstract boundary value problem of non - selfadjoint and non - compact operator with reflective boundary condition
具反射边界条件的非自伴非紧的抽象边值问题 |
| 4. | A classification of certain separable c * - algebras of real rank zero with trivial ki - group is given in second part . we construct all the extensions of cuntz algebras by the compact operators , and compute their k - theory
第二部分讨论了某些具有实秩零及平凡的k _ 1群的可分c ~ * -代数的分类，我们先构造出cuntz代数通过紧算子的所有的扩张，并计算它们的k -群。 |
| 5. | In the second chapter , the kdv type equation on unbounded domain is considered . applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space , the existence of exponential attractor is obtained
在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的kdv型方程，得到了该方程指数吸引子的存在性 |
| 6. | This paper applied the character that linear subjective isometries preserve the geometric rank of a operator to characterize the onto isometries between compact operators space in weakly closed modules of nest algebras , and obtained the expressions of the isomtries
摘要利用算子的几何秩在线性等距映射下不变的性质研究了套代数弱闭模中紧算子空间的线性等距离映射，最后得到其空间实现形式。 |
| 7. | Two important subspaces introduced by m . mbekhta in 1987 [ 4 ] . ( they are usually called mbekhta subspaces . ) in the following years , mbekhta subspaces have been widely used in spectral theory of bounded operators and compact operators , the single - valued extension property ( svep ) of bounded operators , and so on
Mbekhta再[ 4 ]中定义了两个著名的子空间： (我们通常称它们为mbekhta子空间)随后几年，人们将mbekhta子空间广泛地应用于有界线性算子、紧算子的谱理论，有界线性算子的单值扩张性质( svep ) ，等等。 |
| 8. | In the six chapter , we use the methods of reproducing kernel and carleson measure charactering the pointwise multipliers on the hardy space , bergman space on the polydiscs , we also obtain a necessary condition for a composition operator to be a compact operator , and a addition result on the range of composition operator on the hardy space
在第六章中，我们利用再生核与carleson测度刻画了多圆hardy空间到bergman空间，以及bergman空间到bergman空间的点乘子，得到hardy空间与bergman空间上复合算子为紧的一个必要条件，以及在hardy空间上关于复合算子值域的一个结果 |
