Michael A. Dritschel

	Besides being a mathematician, I am a keen cyclist, averaging around 7000km per year. The first is a photo from 2017, when I cycled the Grand Tour des Alpes from Geneva to Nice, the second is from a cycle tour in 2018 mainly through France, Germany, Switzerland, and Italy, taken at the San Bernadino pass in Switzerland, the third is in Monfort, France, at the end of a tour in 2020 taking me along the entire Atlantic coast of France, then through part of the Pyrénées, before finishing at Monfort, in the Gers.

Research Interests

Some papers, with links to arxiv versions, include:

• joint with Maximilian Contino, Alejandra Maestripieri, and Stefania Marcantognini, Products of positive operators. Complex Anal. Oper. Theory 15 (2021), no. 2, 1—36.
• Factoring non-negative operator valued trigonometric polynomials in two variables, submitted.
• joint with Batzorig Undrakh, Rational dilation problems associated with constrained algebras. J. Math. Anal. Appl. 467 (2018), no. 1, 95—131.
• joint with Daniel Estévez and Dmitry Yakubovich, Resolvent criteria for similarity to a normal operator with spectrum on a curve. J. Math. Anal. Appl. 463 (2018), no. 1, 345—364.
• joint with Daniel Estévez and Dmitry Yakubovich, Traces of analytic uniform algebras on subvarieties and test collections. J. Lond. Math. Soc. (2) 95 (2017), no. 2, 414—440.
• joint with Daniel Estévez and Dmitry Yakubovich, Tests for complete K-spectral sets. J. Funct. Anal. 273 (2017), no. 3, 984—1019.
• joint with Michael Jury and Scott McCullough, Scott Dilations and constrained algebras. Oper. Matrices 10 (2016), no. 4, 829—861.
• Realizations via preorderings with application to the Schur class.
• joint with Tirtha Bhattacharyya and Chris Todd, Completely bounded kernels. Acta Sci. Math. (Szeged) 79 (2013), no. 1-2, 191—217.
• joint with James Pickering, Test functions in constrained interpolation. Trans. Amer. Math. Soc. 364 (2012), no. 11, 5589—5604.
• joint with Jim Rovnyak, The operator Fejér-Riesz theorem. A glimpse at Hilbert space operators, 223—254, Oper. Theory Adv. Appl., 207, Birkhäuser Verlag, Basel, 2010.
• joint with Milne Anderson and Jim Rovnyak, Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball. Comput. Methods Funct. Theory 8 (2008), no. 1-2, 339—361.
• joint with Scott McCullough, Test functions, kernels, realizations and interpolation. Operator theory, structured matrices, and dilations, 153—179, Theta Ser. Adv. Math., 7, Theta, Bucharest, 2007.
• joint with Scott McCullough and Stefania Marcantognini, Interpolation in semigroupoid algebras. J. Reine Angew. Math. 606 (2007), 1—40.
• joint with Scott McCullough, The failure of rational dilation on a triply connected domain. J. Amer. Math. Soc. 18 (2005), no. 4, 873—918.
• joint with Hugo Woerdeman, Outer factorizations in one and several variables. Trans. Amer. Math. Soc. 357 (2005), no. 11, 4661—4679.
• joint with Scott McCullough, Boundary representations for families of representations of operator algebras and spaces. J. Operator Theory 53 (2005), no. 1, 159—167.

List of publications through MathSciNet,