Tubal tensor SVD and optimal low-rank approximation are extended to tensors with infinite-dimensional tubes by embedding the tube space in a commutative unital C*-algebra isomorphic to ℓ∞.
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Quasitubal Tensor Algebra Over Separable Hilbert Spaces
Tubal tensor SVD and optimal low-rank approximation are extended to tensors with infinite-dimensional tubes by embedding the tube space in a commutative unital C*-algebra isomorphic to ℓ∞.