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Dongyang Chen
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How to characterize a Banach space $X$ such that any operator from $X$ to $l_{p}$ to $X^{*}$ is compact?

Let $X$ be a Banach space and $1<p<\infty$. How to characterize $X$ such that any operator from $l_{p}$$X$ to $X^{*}$$l_{p}$ is compact? Are there any known or new results?

How to characterize a Banach space $X$ such that any operator from $l_{p}$ to $X^{*}$ is compact?

Let $X$ be a Banach space and $1<p<\infty$. How to characterize $X$ such that any operator from $l_{p}$ to $X^{*}$ is compact? Are there any known or new results?

How to characterize a Banach space $X$ such that any operator from $X$ to $l_{p}$ is compact?

Let $X$ be a Banach space and $1<p<\infty$. How to characterize $X$ such that any operator from $X$ to $l_{p}$ is compact? Are there any known or new results?

Source Link
Dongyang Chen
  • 3.3k
  • 1
  • 13
  • 16

How to characterize a Banach space $X$ such that any operator from $l_{p}$ to $X^{*}$ is compact?

Let $X$ be a Banach space and $1<p<\infty$. How to characterize $X$ such that any operator from $l_{p}$ to $X^{*}$ is compact? Are there any known or new results?