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August 6, 2025SymmetryOpen Access

The Concept of Measures of Noncompactness in Banach Spaces

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Authors

TZTomasz Zając

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Overview

This survey reviews measures of noncompactness in Banach spaces, highlighting their use in nonlinear analysis and connection to differential equations.

Key Points

  • Measures of noncompactness serve as crucial tools in nonlinear analysis and are important for solving differential equations.
  • The article emphasizes the symmetry between measures of noncompactness and weak noncompactness in Banach spaces.
  • Applications of these measures extend to infinite systems of equations, illustrating their broad relevance in mathematics.
  • Open problems related to these concepts are discussed, inviting further exploration in the field.

Cite This Study

Tomasz Zając (2025) studied this question.

synapsesocial.com/papers/689522009f4f1c896c428dd3https://doi.org/10.3390/sym17081248
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