A multivariate lexicographic functional calculus is defined, and its divided-difference derivative formula unifies the known Fréchet-differentiability results for functions of operators in commutative, finite-dimensional, and Besov-regular settings.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Lexicographic functional calculus and its application to functional calculus calculus
A multivariate lexicographic functional calculus is defined, and its divided-difference derivative formula unifies the known Fréchet-differentiability results for functions of operators in commutative, finite-dimensional, and Besov-regular settings.