算子点态遍历定理

On Pointwise Ergodicity of Mappings in LP Space

英文关键词:linear operator  non-linear operator  pole of an operator  pointwise ergodic-ity

中文摘要:

      本文证明了关于Ｌ^P（１≤Ｐ≤∞）空间中线性算子与非线性算子的几个点态遍历定理，还推广了Ｙｏｓｉｄａ与ＫａＫｕｔａｎｉ关于拟紧算子的一致遍历定理。

英文摘要:

      In this note we prove several theorems on pointwise ergodicity of mappingsdefined in L^P(1 ≤ p ≤ ∞) and generaize the Yosida-Kakutani theorem on uniform er-godicity of quasi-compact operators.