What question did this study set out to answer?

The study aims to explore the properties and spectral analysis of m-biisometric operators within the framework of Hilbert spaces.

March 7, 2026

On m -Biisometric operators on a Hilbert Space

Key Points

The study aims to explore the properties and spectral analysis of m-biisometric operators within the framework of Hilbert spaces.
Investigated properties of m-biisometric operators
Proved that a composition of nilpotent operators results in an m-biisometric operator
Characterized the spectra of the discussed operators
Established several fundamental properties related to m-biisometric operators
Showed that the composition of nilpotent operators retains the m-biisometric property
Characterized the spectra for this class of operators, revealing new insights into their behavior

Abstract

A pair of operators Formula: see text is said to be an Formula: see text-biisometric operator (or an Formula: see text-biisometry) if it satisfies the equation Formula: see text In this paper, we first present several properties associated with this family. Then, we prove that if Formula: see text is an Formula: see text-biisometry and Formula: see text are nilpotent operators with order Formula: see text and Formula: see text respectively, then Formula: see text is Formula: see text-biisometric operator where Formula: see text. Finally, we characterize the spectra of these operators.

Bookmark

Cite This Study

Saddi et al. (Wed,) studied this question.

synapsesocial.com/papers/69abc1b45af8044f7a4ea8ec https://doi.org/https://doi.org/10.1142/s1793557126500348

Bookmark