Don Hadwin
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Don Hadwin has a total of 36 co-authors. Here are the top co-authors by number of shared publications:
- Junhao Shen
Mathematics Department, University of New Hampshire, Durham, NH 03824, USA
14 shared publications - Weihua Li
Science and Mathematics Department, Columbia College Chicago, Chicago, IL 60605, USA
5 shared publications - Hassan Yousefi
Calif State Univ Fullerton, Dept Math, Fullerton, CA 92831 USA
4 shared publications - Qihui Li
Department of Mathematics, East China University of Science and Technology, Shanghai, China
4 shared publications - Jiankui Li
School of Mathematics, East China University of Science and Technology, Shanghai, China
3 shared publications - Wenjing Liu
Mathematics Department, University of New Hampshire, Durham, NH 03824, USA
3 shared publications
Latest Publications
- Open Access
- 2 October 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (19) , 3586
Topological Spaces with Low Reflexivity Indices
We determine the reflexivity indices of certain topological spaces. The reflexivity index is a measure of certain type of dynamical complexity of the space. The reflexivity index is 1 exactly when there is a continuous selfmap on the space so that the orbit at each point is dense in the space. Spaces with index 1 include the rational numbers, the irrational numbers, an n-torus with and where X is any infinite-dimensional separable Banach space. The index of and () is 2.- 2 October 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (19) , 3586
Open AccessTopological Spaces with Low Reflexivity Indices
We determine the reflexivity indices of certain topological spaces. The reflexivity index is a measure of certain type of dynamical complexity of the space. The reflexivity index is 1 exactly when there is a continuous selfmap on the space so that the orbit at each point is dense in the space. Spaces with index 1 include the rational numbers, the irrational numbers, an n-torus with and where X is any infinite-dimensional separable Banach space. The index of and () is 2. - 19 February 2026
- Published by Springer Nature in Acta Scientiarum Mathematicarum
Similarity domination in operator algebras
- 19 February 2026
- Published by Springer Nature in Acta Scientiarum Mathematicarum
Similarity domination in operator algebras
- 22 May 2024
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 152 (07) , 2719-2723
A note on almalgamated free products
We prove a general result concerning properties preserved under certain amalgamated free products.
- 22 May 2024
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 152 (07) , 2719-2723
A note on almalgamated free products
We prove a general result concerning properties preserved under certain amalgamated free products.
- 3 April 2023
- Published by Springer Nature in Acta Scientiarum Mathematicarum
- Vol. 89 (3-4) , 449-499
Unitarily invariant norms on finite von Neumann algebras
- 3 April 2023
- Published by Springer Nature in Acta Scientiarum Mathematicarum
- Vol. 89 (3-4) , 449-499
Unitarily invariant norms on finite von Neumann algebras
- 21 October 2022
- Published by Springer Nature in Acta Scientiarum Mathematicarum
- Vol. 88 (3-4) , 627-637
A modified similarity degree for C*-algebras
- 21 October 2022
- Published by Springer Nature in Acta Scientiarum Mathematicarum
- Vol. 88 (3-4) , 627-637
A modified similarity degree for C*-algebras
- 1 August 2022
- Published by Springer Nature in Acta Scientiarum Mathematicarum
- Vol. 88 (1-2) , 263-278
When is an operator S an analytic function of an operator T ?
- 1 August 2022
- Published by Springer Nature in Acta Scientiarum Mathematicarum
- Vol. 88 (1-2) , 263-278
When is an operator S an analytic function of an operator T ?
- 2 October 2020
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 103 (2) , 318-325
CENTRAL SEQUENCES IN SUBHOMOGENEOUS UNITAL C*-ALGEBRAS
Suppose that is a unital subhomogeneous C*-algebra. We show that every central sequence in is hypercentral if and only if every pointwise limit of a sequence of irreducible representations is multiplicity free. We also show that every central sequence in is trivial if and only if every pointwise limit of irreducible representations is irreducible. Finally, we give a nice representation of the latter algebras.
- 2 October 2020
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 103 (2) , 318-325
CENTRAL SEQUENCES IN SUBHOMOGENEOUS UNITAL C*-ALGEBRAS
Suppose that is a unital subhomogeneous C*-algebra. We show that every central sequence in is hypercentral if and only if every pointwise limit of a sequence of irreducible representations is multiplicity free. We also show that every central sequence in is trivial if and only if every pointwise limit of irreducible representations is irreducible. Finally, we give a nice representation of the latter algebras.
- 1 October 2020
- Published by Elsevier in Linear Algebra and its Applications
- Vol. 603, 186-189
A note on Mirsky's theorem
- 1 October 2020
- Published by Elsevier in Linear Algebra and its Applications
- Vol. 603, 186-189
A note on Mirsky's theorem
- Open Access
Path-connected Closures of Unitary Orbits
Suppose A and B are unital C*-algebras and A is separable. Let Rep(A,B) denote the set of all unital *-homomorphisms from A to B with the topology of pointwise convergence. We consider the problem of when the closure of the unitary orbit of a single representation in Rep(A,B) is path-connected. An affirmative answer was given by the first author when A is singly generated and B is the algebra of all operators on a separable Hilbert space. We extend this result for all separable A. We also give an affirmative answer when A is AF or homogeneous and B is a von Neumann algebra or when A is ASH and B is a finite von Neumann algebra.
Open AccessPath-connected Closures of Unitary Orbits
Suppose A and B are unital C*-algebras and A is separable. Let Rep(A,B) denote the set of all unital *-homomorphisms from A to B with the topology of pointwise convergence. We consider the problem of when the closure of the unitary orbit of a single representation in Rep(A,B) is path-connected. An affirmative answer was given by the first author when A is singly generated and B is the algebra of all operators on a separable Hilbert space. We extend this result for all separable A. We also give an affirmative answer when A is AF or homogeneous and B is a von Neumann algebra or when A is ASH and B is a finite von Neumann algebra.
- Open Access
Central Sequences in Subhomogeneous Unital C*-algebras
Suppose A is a unital subhomogeneous C*-algebra. We show that every central sequence in A is hypercentral if and only if every pointwise limit of a sequence of irreducible representations is multiplicity free. We also show that every central sequence in A is trivial if and only if every pointwise limit of irreducible representations is irreducible. We also give a nice repesentation of the latter algebras.
Open AccessCentral Sequences in Subhomogeneous Unital C*-algebras
Suppose A is a unital subhomogeneous C*-algebra. We show that every central sequence in A is hypercentral if and only if every pointwise limit of a sequence of irreducible representations is multiplicity free. We also show that every central sequence in A is trivial if and only if every pointwise limit of irreducible representations is irreducible. We also give a nice repesentation of the latter algebras.