On the Mean Ergodic Theorem in Bicomplex Banach Modules

Koumantos, Panagiotis N.

doi:10.1007/s00006-023-01262-2

Adv. Appl. Clifford Algebras

2023

DOI: 10.1007/s00006-023-01262-2

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On the Mean Ergodic Theorem in Bicomplex Banach Modules

Panagiotis N. Koumantos¹

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2024

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Cited by 3 publications

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Distribution Function and Nonincreasing Rearrangement of $${\mathbb {B}}{\mathbb {C}}$$-Valued Functions with $${\mathbb {B}} {\mathbb {C}}$$-Measure

Eryılmaz

2024

Adv. Appl. Clifford Algebras

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This paper investigates the distribution function and nonincreasing rearrangement of $$\mathbb{B}\mathbb{C}$$ B C -valued functions equipped with the hyperbolic norm. It begins by introducing the concept of the distribution function for $$ \mathbb{B}\mathbb{C}$$ B C -valued functions, which characterizes valuable insights into the behavior and structure of $$\mathbb{B}\mathbb{C}$$ B C -valued functions, allowing to analyze their properties and establish connections with other mathematical concepts. Next, the nonincreasing rearrangement of $$\mathbb{B}\mathbb{C}$$ B C -valued functions with the hyperbolic norm are studied. By exploring the nonincreasing rearrangement of $$\mathbb{B}\mathbb{C}$$ B C -valued functions, it is aimed to determine how the hyperbolic norm influences the rearrangement process and its impact on the function’s behavior and properties.

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Distribution Function and Nonincreasing Rearrangement of $${\mathbb {B}}{\mathbb {C}}$$-Valued Functions with $${\mathbb {B}} {\mathbb {C}}$$-Measure

Eryılmaz

2024

Adv. Appl. Clifford Algebras

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Bicomplex Version of Matrix Transformations Between $$c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)$$ and $$c^{k}\left( \mathbb{B}\mathbb{C} \right)$$ by Using the Hyperbolic-Valued Norm

Sağır,

Güngör,

Duyar

2024

Iran J Sci

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A Mean Ergodic Theorem in Bicomplex Lebesgue Spaces

Eryilmaz

2024

Wseas Transactions on Mathematics

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On the Mean Ergodic Theorem in Bicomplex Banach Modules

Cited by 3 publications

References 29 publications

Distribution Function and Nonincreasing Rearrangement of $${\mathbb {B}}{\mathbb {C}}$$-Valued Functions with $${\mathbb {B}} {\mathbb {C}}$$-Measure

Distribution Function and Nonincreasing Rearrangement of $${\mathbb {B}}{\mathbb {C}}$$-Valued Functions with $${\mathbb {B}} {\mathbb {C}}$$-Measure

Bicomplex Version of Matrix Transformations Between $$c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)$$ and $$c^{k}\left( \mathbb{B}\mathbb{C} \right)$$ by Using the Hyperbolic-Valued Norm

A Mean Ergodic Theorem in Bicomplex Lebesgue Spaces

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