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<p>This paper mainly discusses the conditions for an operator to be self-adjoint. These conditions involve equations or inequalities related to their real parts, imaginary parts, modulus, or powers. Some of these results are also applicable to infinite-dimensional spaces. </p>

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Characterizations of self-adjoint operators through identities involving their modulus, real and imaginary parts

  • 期刊论文

  • 发表日期：

    2025年5月2日

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  • Mohammed Hichem Mortad

摘要

This paper mainly discusses the conditions for an operator to be self-adjoint. These conditions involve equations or inequalities related to their real parts, imaginary parts, modulus, or powers. Some of these results are also applicable to infinite-dimensional spaces.