W. E. Longstaff
University of Western Australia
48 Papers
280 Citations
W. E. Longstaff is an academic researcher from University of Western Australia. The author has contributed to research in topics: Linear subspace & Reflexive operator algebra. The author has an hindex of 14, co-authored 46 publications. Previous affiliations of W. E. Longstaff include University of Western Ontario & Flinders University.
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Papers
The hyperinvariant subspace lattice of a linear transformation
TL;DR: A description of the lattice of hyperinvariant subspaces of a linear transformation on a finite-dimensional vector space is given, as well as implications between linear-algebraic and lattice-theoretic properties.
46
On the lengths of irreducible pairs of complex matrices
W. E. Longstaff,Peter Rosenthal +1 more
- 13 Jun 2011
TL;DR: In this paper, the authors studied the lower bound for the length of a pair of matrices, i.e., the smallest integer l such that words in the matrices with at most l factors span the unital algebra generated by the pair.
On the lengths of pairs of complex matrices of size at most five
TL;DR: The length of every pair { A, B } of n × n complex matrices is at most 2 n − 2, if n ≤ 5 as mentioned in this paper, and for n ≥ 5, the (possibly empty) words in a pair {A, B} of length at most Θ(n − 2 ) span the unital algebra generated by A and B.