The convex Positivstellensatz in a free algebra
Helton, J. William, Klep, Igor, McCullough, Scott
Published in Advances in mathematics (New York. 1965) (10.09.2012)
Published in Advances in mathematics (New York. 1965) (10.09.2012)
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Journal Article
Classification of all noncommutative polynomials whose Hessian has negative signature one and a noncommutative second fundamental form
Dym, Harry, Greene, Jeremy M., Helton, J. William, McCullough, Scott A.
Published in Journal d'analyse mathématique (Jerusalem) (01.05.2009)
Published in Journal d'analyse mathématique (Jerusalem) (01.05.2009)
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Journal Article
Convexity of a certain operator trace functional
Evert, Eric, McCullough, Scott, Štrekelj, Tea, Vershynina, Anna
Published in Linear algebra and its applications (15.06.2022)
Published in Linear algebra and its applications (15.06.2022)
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Journal Article
Proper analytic free maps
Helton, J. William, Klep, Igor, McCullough, Scott
Published in Journal of functional analysis (01.03.2011)
Published in Journal of functional analysis (01.03.2011)
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Journal Article
The matricial relaxation of a linear matrix inequality
Helton, J. William, Klep, Igor, McCullough, Scott
Published in Mathematical programming (01.04.2013)
Published in Mathematical programming (01.04.2013)
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Journal Article
Circular free spectrahedra
Evert, Eric, Helton, J. William, Klep, Igor, McCullough, Scott
Published in Journal of mathematical analysis and applications (01.01.2017)
Published in Journal of mathematical analysis and applications (01.01.2017)
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Journal Article
Extreme Points of Matrix Convex Sets, Free Spectrahedra, and Dilation Theory
Evert, Eric, Helton, J. William, Klep, Igor, McCullough, Scott
Published in The Journal of geometric analysis (01.04.2018)
Published in The Journal of geometric analysis (01.04.2018)
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Journal Article
Plurisubharmonic noncommutative rational functions
Dym, Harry, Helton, J. William, Klep, Igor, McCullough, Scott, Volčič, Jurij
Published in Journal of mathematical analysis and applications (01.12.2020)
Published in Journal of mathematical analysis and applications (01.12.2020)
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Journal Article
Compact sets in the free topology
Augat, M., Balasubramanian, S., McCullough, Scott
Published in Linear algebra and its applications (01.10.2016)
Published in Linear algebra and its applications (01.10.2016)
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Journal Article
Bianalytic free maps between spectrahedra and spectraballs
Helton, J. William, Klep, Igor, McCullough, Scott, Volčič, Jurij
Published in Journal of functional analysis (15.06.2020)
Published in Journal of functional analysis (15.06.2020)
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Journal Article
Analytic mappings between noncommutative pencil balls
Helton, J. William, Klep, Igor, McCullough, Scott
Published in Journal of mathematical analysis and applications (15.04.2011)
Published in Journal of mathematical analysis and applications (15.04.2011)
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Journal Article
Nevanlinna–Pick interpolation on distinguished varieties in the bidisk
Jury, Michael T., Knese, Greg, McCullough, Scott
Published in Journal of functional analysis (01.05.2012)
Published in Journal of functional analysis (01.05.2012)
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Journal Article
Bianalytic maps between free spectrahedra
Augat, Meric, Helton, J. William, Klep, Igor, McCullough, Scott
Published in Mathematische annalen (01.06.2018)
Published in Mathematische annalen (01.06.2018)
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Journal Article
Noncommutative convexity arises from linear matrix inequalities
Helton, J. William, McCullough, Scott A., Vinnikov, Victor
Published in Journal of functional analysis (01.11.2006)
Published in Journal of functional analysis (01.11.2006)
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Journal Article