Hilbert space with non-associative scalars. II

DOI10.1007/BF01350041zbMath0136.10802OpenAlexW4247595282MaRDI QIDQ2521275

H. H. Goldstine, Lawrence P. Horwitz

Publication date: 1966

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161407

zbMATH Keywords

functional analysis

Related Items (12)

Structure of octonionic Hilbert spaces with applications in the Parseval equality and Cayley–Dickson algebras ⋮ Category isomorphisms between Hilbert spaces over octonions and Hilbert spaces over Clifford algebras ⋮ Exceptional gauge groups and quantum theory ⋮ Multivariate Wold decompositions: a Hilbert \(A\)-module approach ⋮ Extremal problems for matrix-valued polynomials on the unit circle and applications to multivariate stationary sequences. ⋮ Tensor product of quaternion Hilbert modules ⋮ Quark structure and octonions ⋮ Hilbert function modules with reproducing kernels ⋮ Reproducing kernels for Generalized Hilbert Function Spaces ⋮ Reproducing kernels for elliptic systems ⋮ Quaternion quantum mechanics: Second quantization and gauge fields ⋮ Para-linearity as the nonassociative counterpart of linearity

Cites Work

• Hilbert space with non-associative scalars. I
• ON A HILBERT SPACE WITH NONASSOCIATIVE SCALARS
• An Introduction to Linear Transformations in Hilbert Space. (AM-4)
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