Quaternionic Hilbert spaces and a von Neumann inequality

DOI10.1080/17476933.2010.534141zbMath1301.47020OpenAlexW2171319634MaRDI QIDQ2892046

H. Turgay Kaptanoğlu, Daniel Alpay

Publication date: 18 June 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11693/21461

zbMATH Keywords

tensor productsreproducing kernel Hilbert spacesvon Neumann inequalityDrury-Arveson spacequaternionic Hilbert spaces

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spaces of linear operators; topological tensor products; approximation properties (46A32) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items

Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality ⋮ On a class of quaternionic positive definite functions and their derivatives ⋮ Gleason's problem and Schur multipliers in the multivariable quaternionic setting

Cites Work

• Unnamed Item
• Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
• de Branges--Rovnyak spaces and Schur functions: The hyperholomorphic case
• Reproducing kernel quaternionic Pontryagin spaces
• Rational hyperholomorphic functions in \(\mathbb R^4\)
• A product and an exponential function in hypercomplex function theory
• Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules
• Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem

This page was built for publication: Quaternionic Hilbert spaces and a von Neumann inequality