On quaternionic functional analysis

DOI10.1017/S0305004107000187zbMath1135.46041arXivmath/0609160MaRDI QIDQ5428386

Chi-Keung Ng

Publication date: 22 November 2007

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609160

zbMATH Keywords

quaternion Hilbert spacesquaternion \(B^*\)-algebras

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General theory of (C^*)-algebras (46L05) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Categories, functors in functional analysis (46M15)

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Cites Work

• Quaternion quantum mechanics: Second quantization and gauge fields
• Quantum mechanics of the quaternionic Hilbert spaces based upon the imprimivity theorem
• Tensor product of quaternion Hilbert modules
• Projection operators and states in the tensor product of quaternion Hilbert modules
• Quaternionic operators with finite matrix trace
• Representations of a Class of Real B ∗ -Algebras as Algebras of Quaternion-Valued Functions
• Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules
• Representation of a Real B ∗ -Algebra on a Quaternionic Hilbert Space
• Quaternionic Representations of Compact Metric Groups
• Normal Operators on Quaternionic Hilbert Spaces

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