query: Isomorphism of linear map with conditions
positive_passages.docid: 152887
positive_passages.text: Let $T : V \rightarrow V$ be a linear operator. If $T^n = O_V$ for some $n \ge 1$, prove that $I_V + T$ is an isomorphism.
negative_passages.docid: 33702
negative_passages.text: Is this an isomorphism possible?
negative_passages.docid: 140212
negative_passages.text: Prove that there exists a unique linear map that extends the map from a basis
negative_passages.docid: 145462
negative_passages.text: On the canonical isomorphism between $V$ and $V^{**}$
negative_passages.docid: 5802
negative_passages.text: Proving the universal mapping property for polynomial rings
negative_passages.docid: 69509
negative_passages.text: Showing a Linear Transformation is invertible
negative_passages.docid: 61616
negative_passages.text: category of linear maps
negative_passages.docid: 127491
negative_passages.text: Isometric isomorphism between $R^2$ and $R$
negative_passages.docid: 25874
negative_passages.text: Showing that a certain map is not flat by explicit counterexample
negative_passages.docid: 100107
negative_passages.text: How can I prove that a linear map $T:V\to V$ such that $T^2 = I$ is equal to the Identity map?
negative_passages.docid: 62711
negative_passages.text: Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
negative_passages.docid: 120522
negative_passages.text: Showing any countable, dense, linear ordering is isomorphic to a subset of $\mathbb{Q}$
negative_passages.docid: 158975
negative_passages.text: Isomorphism of centers of isomorphic groups
negative_passages.docid: 146356
negative_passages.text: To prove two sets are isomorphic is it sufficient to find 2 injections or 2 surjections?
negative_passages.docid: 16610
negative_passages.text: Surjectivity of a map from a space to itself
negative_passages.docid: 43626
negative_passages.text: Open Mapping Theorem: counterexample
negative_passages.docid: 128266
negative_passages.text: Dual Spaces and Natural maps