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Exercise 5.4.5

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Let ${W_{i}}_{i \in I}$ be the collection of $T$ -invatirant subspaces and $W$ be the intersection of them. For every $v \in W$ , we have $T (v) \in W_{i}$ for every $i \in I$ , since $v$ is an element is each $W_{i}$ . This means $T (v)$ is also an element in $W$ .

jephianlin

2011-06-27 00:00

Exercise 5.4.5

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