Ryan O'Loughlin

I am currently a postdoctorate at Université Laval, in Quebec.


Research interests

I am interested in Functional Analysis, Operator Theory and surrounding fields - in particular:

Contact details:

Email address: ryan.oloughlin.1@ulaval.ca

(Note that due to moving institutions my email address may change regularly)


My publications


• Toeplitz Kernels and the Backward Shift; (2020) Ryan O’Loughlin; Journal of Mathematical Analysis and Applications. A copy is available at https://doi.org/10.1016/j.jmaa.2020.124489

• Nearly Invariant Subspaces with Applications to Truncated Toeplitz Operators; (2020) Ryan O’Loughlin; Complex Analysis and Operator Theory. A copy is available at https://doi.org/10.1007/s11785-020-01049-4

• Matrix-valued Truncated Toeplitz Operators: Unbounded Symbols, Kernels and Equivalence After Extension; (2022) Ryan O’Loughlin; Integral Equations and Operator Theory. A copy is available at https://doi.org/10.1007/s00020-022-02685-5

• Dual-band General Toeplitz Operators; (2022) M. Cristina Câmara , Ryan O’Loughlin, Jonathan R.Partington; Mediterranean Journal of Mathematics. A copy is available at https://doi.org/10.1007/s00009-022-02087-2

• Symbols of Compact Truncated Toeplitz Operators; (2022) Ryan O’Loughlin; Journal of Mathematical Analysis and Applications. A copy is available at https://doi.org/10.1016/j.jmaa.2021.125819

• Symmetric Matrix Representations of Truncated Toeplitz Operators on Finite Dimensional Spaces; (2023) Ryan O’Loughlin; Linear Algebra and its Applications. A copy  is available at https://doi.org/10.1016/j.laa.2023.02.012 

• Crouzeix's Conjecture for New Classes of Matrices; (2023) Ryan O’Loughlin, Jani Virtanen. Linear Algebra and its applications. A copy is available at https://doi.org/10.1016/j.laa.2023.12.008.

• Symmetric and Antisymmetric Tensor Products for the Function-Theoretic Operator Theorist; (2023) Ryan O’Loughlin, Stephan Ramon Garcia, Jiahui Yu. Canadian Journal of Mathematics. A copy is available at https://doi.org/10.4153/S0008414X23000901.

• Szegho Limit Theorem for Truncated Toeplitz Operators, (2024) Nazar Miheisi, Ryan O'Loughlin . A preint is available at http://arxiv.org/abs/2404.03087 

• PhD thesis - Multidimensional Toeplitz and Truncated Toeplitz Operators; (2021) Ryan O’Loughlin. A copy is available at https://etheses.whiterose.ac.uk/29284/1/Multidimensional_Toeplitz_and_Truncated_Toeplitz_Operators%20whiteros