What question did this study set out to answer?

The paper aims to introduce and explore the properties of D(T*)-operators on separable Hilbert spaces.

April 15, 2026

The class of D(T*) – operators on Hilbert spaces

Key Points

The paper aims to introduce and explore the properties of D(T*)-operators on separable Hilbert spaces.
Defined T as an operator on separable Hilbert space H.
Established a condition for T to be a D(T*)-operator involving another operator U.
Studied main properties of D(T*)-operators.
Introduced a new class of operators characterized by the relation TT*U = UTT*.
Outlined the fundamental properties and implications of D(T*)-operators.

Abstract

The purpose of this paper is to introduce a new class operator on separable Hilbert space. The operator T ∈ B(H) is called D(T*)-operator if there exist U ∈ B(H), U ≠ 0, I such that TT*U = UTT*, where T* is adjoint operator of T. Then some main properties of the class of D(T*) – operator are studied in this research.

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Cite this study

Radharamani et al. (Mon,) studied this question.

www.synapsesocial.com/papers/69df2b65e4eeef8a2a6b066c — DOI: https://doi.org/10.13074/jfimo.2026.03.2611001

Authors

A. Radharamani

S. Jayakumar

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The class of D(T*) – operators on Hilbert spaces

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Abstract

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Cite this study

Authors

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