L-fuzzy矩形带

给出了L-fuzzy子矩形带的概念,并给出了L-fuzzy子半群与L-fuzzy子矩形带L-fuzzy同构的条件.     

Quasielliptic operators and Sobolev type equations

We consider a class of matrix quasielliptic operators on the n-dimensional space. For these operators, we establish the isomorphism properties in some special scales of weighted Sobolev spaces. Basing on these properties, we prove the unique solvability of the initial value problem for a class of Sobolev type equations.     

关于Grothendieck群的几点注记

作者在本文中围绕Ｇｒｏｔｈｅｎｄｉｅｃｋ群对几个问题进行了讨论，主要结果有：１．一切有限生成Ｒ－模的同构类作成一个集合；２．在任意由Ｒ－模作成的集合中稳定同的关系是合同关系；３．Ｇｒｏｔｈｅｎｄｉｅｃｋ群的同构不变性成立。     

自反Banach空间上算子代数的超自反性

本文引入自发Banach空间上算子代数A的超自反定义，讨论了A超自反的充要条件，超自反常数的估计以及超自反在代数同构下的不变性。     

有限交换群上Bi-Cayley图的Hamilton性

设G是一个有限群,S是G的一个子集(可以含G的单位元).Bi-Cayley图BC(G,S)是一个二部图:其顶点集为G×{0,1},而边集为{{(g,0),(sg,1)}:g∈G,s∈S}.本文证明了有限交换群上连通的Bi-Cayley图BC(G,S)是Hamilton的,如果S-1=S且S含二阶元或单位元.     

An answer to a question of Cao, Reilly and Xiong

We present a simple proof of a Banach-Stone type Theorem. The method used in the proof also provides an answer to a conjecture of Cao, Reilly and Xiong.     

Multirectangular invariants for power Köthe spaces

Using some new linear topological invariants, isomorphisms and quasidiagonal isomorphisms are investigated on the class of first type power Köthe spaces [Proceedings of 7th Winter School in Drogobych, 1976, pp. 101-126; Turkish J. Math. 20 (1996) 237-289; Linear Topol. Spaces Complex Anal. 2 (1995) 35-44]. This is the smallest class of Köthe spaces containing all Cartesian and projective tensor products of power series spaces and closed with respect to taking of basic subspaces (closed linear hulls of subsets of the canonical basis). As an application, it is shown that isomorphic spaces from this class have, up to quasidiagonal isomorphisms, the same basic subspaces of finite (infinite) type.     

A regularity theorem for certain fourth-order differential operator

ＡＲＥＧＵＬＡＲＩＴＹＴＨＥＯＲＥＭＦＯＲＣＥＲＴＡＩＮＦＯＵＲＴＨ－ＯＲＤＥＲＤＩＦＦＥＲＥＮＴＩＡＬＯＰＥＲＡＴＯＲ￥ＬｉｕＹｉｎｇｒａｎ（刘颖范）（ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔｙｏｆＡｅｒｏｎａｕｔｉｃｓａｎｄＡｓｔｒｏｎａｕｔｉｃｓ．Ｎａ...