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I know that L$(V_1, V_2)$ denotes a linear transformation from $V_1$ to $V_2$.

What does $L(V)$ denote.

My guess would be that it denotes the homomorphism from $V$ to $V$ but I'm not sure.

aribaldi
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1 Answers1

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First $L(V_1,V_2)$ denotes the space of all linear transformations from $V_1$ into $V_2$. So $L(V)$ denotes all the linear transformations from $V$ to $V$.

Kushal Bhuyan
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  • I don't know that I would say "so" as if it really follows from the definition of $L(V, W)$ (even though it's probably the only sensible interpretation). – pjs36 Jun 08 '16 at 04:59
  • Actually when $W=V$ then only we write $L(V)$ instead of $L(V,W)$. – Kushal Bhuyan Jun 08 '16 at 05:05