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Orthogonal Projections and Uniformly Bounded Families of Multipliers

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0 Published in 2018 at "Results in Mathematics"

DOI: 10.1007/s00025-018-0875-9

Abstract: For a Banach space, with a total sequence of mutually orthogonal projections, we present a criterium to verify that a family of multipliers is uniformly bounded. We assume that the Cesàro means are uniformly bounded.… read more here.

Keywords: families multipliers; projections uniformly; orthogonal projections; bounded families ... See more keywords

Real Orthogonal Projections as Quantum Logic

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1 Published in 2017 at "International Journal of Theoretical Physics"

DOI: 10.1007/s10773-017-3387-6

Abstract: In this paper, we study linear operators on real and complex Euclidean spaces which are real-orthogonal projections. It is a generalization of such standard (complex) orthogonal projections for which only the real part of scalar… read more here.

Keywords: projections quantum; real orthogonal; orthogonal projections; quantum logic ... See more keywords

Anti-selfadjoint operators as commutators of projections

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0 Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.05.042

Abstract: Abstract Let A be an anti-selfadjoint operator on a Hilbert space H with ‖ A ‖ ≤ 1 2 . We give a sufficient and necessary condition for A to be a commutator of a… read more here.

Keywords: anti selfadjoint; commutators projections; orthogonal projections; operators commutators ... See more keywords

Intertwining Operators between Two Orthogonal Projections

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0 Published in 2020 at "Numerical Functional Analysis and Optimization"

DOI: 10.1080/01630563.2020.1813166

Abstract: Abstract Let P and Q be a pair of orthogonal projections. In this note we will prove that there exists a unitary such that UP = QU and UQ = PU if and only if read more here.

Keywords: intertwining operators; orthogonal projections; two orthogonal; operators two ... See more keywords

Banach *-algebras generated by semicircular elements induced by certain orthogonal projections

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0 Published in 2018 at "Opuscula Mathematica"

DOI: 10.7494/opmath.2018.38.4.501

Abstract: The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections… read more here.

Keywords: elements induced; algebras generated; banach algebras; generated semicircular ... See more keywords