Order Structures of (
		<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif"><mml:mi mathvariant="script">D</mml:mi></mml:math>,
		<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si100.gif"><mml:mi>ℰ</mml:mi></mml:math>)-Quasi-Bases and Constructing Operators for Generalized Riesz Systems

Inoué, Hiroshi

doi:10.1016/s0034-4877(20)30056-2

Reports on Mathematical Physics

2020

DOI: 10.1016/s0034-4877(20)30056-2

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Order Structures of ( D, ℰ)-Quasi-Bases and Constructing Operators for Generalized Riesz Systems

Hiroshi Inoué

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An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces

Inoué

2021

Journal of Mathematical Physics

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Through our series of studies, we have constructed some physical operators such as non-self-adjoint Hamiltonians H, lowering operators A, and raising operators B and their adjoint H†, A†, and B† from generalized Riesz systems. However, we cannot consider the *-algebraic structure of their operators because even the sum H + H† is not well-defined. Our purpose of this paper is to introduce the *-algebra structure of all their operators by defining a certain Krein space.

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An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces

Inoué

2021

Journal of Mathematical Physics

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Order Structures of ( D, ℰ)-Quasi-Bases and Constructing Operators for Generalized Riesz Systems

Cited by 1 publication

References 15 publications

An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces

An algebraic approach of non-self-adjoint Hamiltonians in Krein spaces

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