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Physical Sciences and Engineering Mathematics Algebra and Number Theory

Idempotents in a space with conjugation

Article ID Journal Published Year Pages File Type
6416668 Linear Algebra and its Applications 2013 9 Pages PDF
Abstract

Let H be a complex Hilbert space with conjugation operator J. We study J-real operators and we have covered J-regular subspaces. We prove that for given bounded idempotent p there exists a conjugation operator J0 such that p is a J0-projection, i.e. p=J0p∗J0.

Keywords
28A6046C2046C5047A6347B50IdempotentHilbert spaceConjugationProjection
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Idempotents in a space with conjugation
Authors
Marjan Matvejchuk,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
28A60
46C20
46C50
47A63
47B50
Idempotent
Hilbert space
Conjugation
Projection
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Journal of Symbolic Computation
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Journal of Algebra
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