In this paper, the author establishs general open mapping theorems for continuous, weakly continuous, closed and weakly singular linear maps respectively. From these general theorems, he deduces a lot of specific open...In this paper, the author establishs general open mapping theorems for continuous, weakly continuous, closed and weakly singular linear maps respectively. From these general theorems, he deduces a lot of specific open mapping theorems, which include some well-known theorems and some new interesting results. Particularly the author gives the extensions of Husain's open mapping theorem and Adasch's open mapping theorem.展开更多
Several general open mapping theorems for continuous linear maps, weakly continuous linear maps and closed linear maps are established respectively. From these general forms, a lot of specific open mapping theorems ca...Several general open mapping theorems for continuous linear maps, weakly continuous linear maps and closed linear maps are established respectively. From these general forms, a lot of specific open mapping theorems can be deduced.展开更多
文摘In this paper, the author establishs general open mapping theorems for continuous, weakly continuous, closed and weakly singular linear maps respectively. From these general theorems, he deduces a lot of specific open mapping theorems, which include some well-known theorems and some new interesting results. Particularly the author gives the extensions of Husain's open mapping theorem and Adasch's open mapping theorem.
文摘Several general open mapping theorems for continuous linear maps, weakly continuous linear maps and closed linear maps are established respectively. From these general forms, a lot of specific open mapping theorems can be deduced.
