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Operators on Real Vector Spaces — Sheldon Axler
Mathematics — Linear Algebra · tensor-products
Problem Suppose dim V > 1 \dim V > 1 dim V > 1 dim W > 1 \dim W > 1 dim W > 1 { v ⊗ w : ( v , w ) ∈ V × W } \{v \otimes w : (v, w) \in V \times W\} { v ⊗ w : ( v , w ) ∈ V × W } V ⊗ W V \otimes W V ⊗ W dim V > 1 \dim V > 1 dim V > 1 dim W > 1 \dim W > 1 dim W > 1 { v ⊗ w : ( v , w ) ∈ V × W } ≠ V ⊗ W \{v \otimes w : (v, w) \in V \times W\} \neq V \otimes W { v ⊗ w : ( v , w ) ∈ V × W } = V ⊗ W Browse the problem library