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Norms of quaternionic extensions of real operators.

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Publication:556915
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DOI10.1016/j.crma.2005.03.030zbMath1072.47009OpenAlexW2092675082MaRDI QIDQ556915

Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael V. Shapiro

Publication date: 23 June 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.03.030

zbMATH Keywords

bounded linear operatorsquaternionic extensions of operators


Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20)


Related Items

Some Peculiarities of Quaternionic Linear Spaces, On complexification of real spaces and its manifestations in the theory of Bochner and Pettis integrals, On interactions of quaternionic and complex structures of linear spaces



Cites Work

  • Reproducing kernel quaternionic Pontryagin spaces
  • Self-adjoint operators and pairs of Hermitian forms over the quaternions
  • Summary of essential results in the theory of topological tensor products and nuclear spaces.
  • Spectral theory for unitary operators on a quaternionic Hilbert space
  • Concerning the Hahn-Banach Theorem
  • Normal Operators on Quaternionic Hilbert Spaces
  • Quaternions and matrices of quaternions
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