Corrigendum to "On Smooth extensions of vector-valued functions defined
 on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219]

M. J. Sevilla

doi:10.48550/arxiv.2407.21036

July 17, 2024Open Access

Corrigendum to "On Smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219]

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Key Points

Corrections address the conditions for smooth extensions of vector-valued functions, establishing valid mathematical bounds on closed subsets of Banach spaces.
Theoretical framework reviews the original derivation within Banach spaces, refining the analytical formulation for extending smooth vector-valued functions.
Highlights clarify functional analysis techniques for closed subsets, ensuring accurate foundational theory for smooth extensions across general Banach spaces.

Implication

Theoretical analysis reports formal corrections to smooth extensions of vector-valued functions in closed subsets of Banach spaces, highlighting restored mathematical rigor in functional analysis.

Abstract

The present note is a corrigendum to the paper "On Smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219].

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Cite This Study

M. J. Sevilla (2024) studied this question.

synapsesocial.com/papers/68e60128b6db64358759494c https://doi.org/10.48550/arxiv.2407.21036

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Corrigendum to "On Smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219]

Key Points

Implication

Abstract

Discussion

Cite This Study

Corrigendum to "On Smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" [Math. Ann. (2013) 355: 1201--1219]

Key Points

Implication

Abstract

Discussion

Cite This Study

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