Regular measures of noncompactness and Ascoli-Arzelà type compactness criteria in spaces of vector-valued functions
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Publication:6104041
DOI10.1007/s43037-023-00271-4zbMath1528.46016arXiv2210.13176OpenAlexW4382791996MaRDI QIDQ6104041
Diana Caponetti, Giulio Trombetta, Alessandro Trombetta
Publication date: 5 June 2023
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.13176
Spaces of vector- and operator-valued functions (46E40) Compactness in Banach (or normed) spaces (46B50) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)
Cites Work
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- Unbounded solutions of a boundary value problem for abstract \(n\)th-order differential equations on an infinite interval
- Measures of noncompactness in metric fixed point theory
- On a measure of noncompactness in the Holder space \(C^{k, \gamma}(\varOmega)\) and its application
- A compactness result for differentiable functions with an application to boundary value problems
- Central subspaces of Banach spaces
- On measures of noncompactness in the space of functions defined on the half-axis with values in a Banach space
- Construction of measures of noncompactness of \(C^k(Omega)\) and \(C^k_0\) and their application to functional integral-differential equations
- Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
- On the classification of the Banach spaces whose duals are \(L_1\) spaces
- Sur l'existence des solutions convergentes des systèmes d'équations différentielles non linéaires
- A generalization of the Ascoli theorem and an application to functional differential equations
- A measure of noncompactness in the space of functions with tempered increments on the half-axis and its applications
- Weak$^*$ fixed point property in $\ell _1$ and polyhedrality in Lindenstrauss spaces
- Theorems of ascoli type involving measures of noncompactness
- Chebyshev centres and centrable sets
- Monotonicity and total boundedness in spaces of “measurable” functions
- On the lack of equi-measurability for certain sets of Lebesgue-measurable functions
- Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis
- LIMIT-COMPACT AND CONDENSING OPERATORS
- On Compactness in Functional Analysis
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