赋准范空间中算子T的强有界、有界和连续性

The strong boundedness、boundedness、continuous of the operator T in F*-space

在赋范线性空间中算子T强有界、有界及连续性三者是相互等价的,但对于赋准范线性空间而言,强有界一定是有界、连续的,反之不然,但其中有界和连续性是等价的。

In normed liner space, the strong boundedness、boundedness、continuous of the operator T is equivalent, then in F*-space. The strong bounded operator T is also bounded、continuous operator. But the converse is not true.