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Fredholm weighted composition operators between weighted lp spaces: A simple process point of view

  • Juan D. Cardona-Gutierrez , Julio C. Ramos Fernández EMAIL logo and Margot Salas-Brown
Published/Copyright: January 30, 2024
Analysis
From the journal Analysis Volume 44 Issue 2

Abstract

In this paper we analyze, from a mathematical point of view, a simple processes with input in l p ⁢ ( 𝐫 ) and output in l p ⁢ ( 𝐬 ) . We characterize the functions u : ℕ → ℂ and φ : ℕ → ℕ which define weighted composition operators W φ , u having closed range when acting between two different weighted l p spaces. We also analyze when this operator is upper or lower semi-Fredholm.

Keywords: Banach sequence spaces; weighted composition operators; closed range; Fredholm
MSC 2020: 47B33; 46B45; 47B37; 46B5

References

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Received: 2022-06-25
Revised: 2023-10-10
Accepted: 2024-01-11
Published Online: 2024-01-30
Published in Print: 2024-05-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

Articles in the same Issue

  1. Frontmatter
  2. Pseudo-n-multipliers and pseudo-n-Jordan multipliers
  3. Fractional dual Simpson-type inequalities for differentiable s-convex functions
  4. Fredholm weighted composition operators between weighted lp spaces: A simple process point of view
  5. The exterior differential operator on quasi-Kähler manifolds and some relations of its components for smooth functions
  6. Statistical approximation using wavelets Kantorovich (p,q)-Baskakov operators
  7. Arzelà’s bounded convergence theorem
  8. On the Cauchy problem for the generalized double dispersion equation with logarithmic nonlinearity
https://doi.org/10.1515/anly-2022-1080
Keywords for this article
Banach sequence spaces; weighted composition operators; closed range; Fredholm

Articles in the same Issue

  1. Frontmatter
  2. Pseudo-n-multipliers and pseudo-n-Jordan multipliers
  3. Fractional dual Simpson-type inequalities for differentiable s-convex functions
  4. Fredholm weighted composition operators between weighted lp spaces: A simple process point of view
  5. The exterior differential operator on quasi-Kähler manifolds and some relations of its components for smooth functions
  6. Statistical approximation using wavelets Kantorovich (p,q)-Baskakov operators
  7. Arzelà’s bounded convergence theorem
  8. On the Cauchy problem for the generalized double dispersion equation with logarithmic nonlinearity
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