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Mathematics > Operator Algebras

arXiv:math/0404444 (math)
[Submitted on 24 Apr 2004]

Title:Unbounded operators on Banach spaces over the quaternion field

Authors:S.V. Ludkovsky
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Abstract: Resolvents of quasi-linear operators and operator algebras in Banach spaces over the quaternion field are investigated. Spectral theory of unbounded nonlinear operators in quaternion Banach spaces is studied. Strongly continuous semigroups of quaternion quasi-linear operators are investigated and the polar decomposition theorem for them is proved.
Comments: 20 pages
Subjects: Operator Algebras (math.OA); Spectral Theory (math.SP)
MSC classes: 47A10, 47H20
Cite as: arXiv:math/0404444 [math.OA]
  (or arXiv:math/0404444v1 [math.OA] for this version)
  https://doi.org/10.48550/arXiv.math/0404444
Journal reference: 2007, Hypercomplex Numbers in Geometry and Physics, V. 4: 1 (7)

Submission history

From: Ludkovsky Sergey Victor [view email]
[v1] Sat, 24 Apr 2004 16:09:47 UTC (19 KB)
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