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Everything about Continuous functional calculus
In mathematics, particularly in operator theory and C*-algebra theory, the continuous functional calculus is a functional calculus which allows the application of a continuous function to normal elements of a C*-algebra. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Continuous functional calculusA 5-minute orientation
- Skim a recent paper: An Archimedean vector lattice functional calculus for semicontinuous positively homogeneous functionsInfluential work since 2022
- Pick up a classic book: Functional Analysis, Calculus of Variations and Optimal ControlThe most-reprinted book on the subject
- Read the landmark paper: CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACESCited 183 times
- Go sideways: Self-adjoint elementA closely related topic
- Go sideways: Deformation ringA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
CONTINUOUS SLICE FUNCTIONAL CALCULUS IN QUATERNIONIC HILBERT SPACES
On continuous Peirce decompositions, Schur multipliers and the perturbation of triple functional calculus
Continuum calculus. II. The heterogeneous continuous functional differentiation applied to the Feynman path integral
Fractional Calculus of Piecewise Continuous Functions
Some applications of simultaneous continuous functional calculus
Functional Calculus for Banach Function Algebras and Banach Function Spaces of Continuous Functions Vanishing at Infinity
A functional calculus for continuous affine operators
🆕 Influential since 2022
📚 Books worth reading
Functional Analysis, Calculus of Variations and Optimal ControlFrancis Clarke · 2013
Discrete Hamiltonian SystemsCalvin Ahlbrandt · 2010
Differentiation of real functionsAndrew M. Bruckner · 1978
Limits and continuityRichard A. Silverman · 1968- 📕Sur les opérateurs multiplicativement liésJean G. Dhombres · 1971
Proble mes d'analyseW. J. Kaczor · 2008
Introduction to functional equationsCostas Efthimiou · 2010- 📕Solved Problems in Dynamical Systems and ControlJ. Tenreiro-Machado, António M. Lopes · 2016
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Self-adjoint element In mathematics, an element of a *-algebra is called self-adjoint if it is the same as its adjoint (i.e. a = a ∗ {\displaystyle a=a^{*}} ). Let A {\displaystyle…
- Deformation ring In mathematics, a deformation ring is a ring that controls liftings of a representation of a profinite group (usually a Galois group) from a finite field…
- Spectrum (functional analysis) In mathematics, particularly in functional analysis, the spectrum of a bounded linear operator (or, more generally, an unbounded linear operator) is a…
- Flag algebra Flag algebras are an important computational tool in the field of graph theory which have a wide range of applications in homomorphism density and related…
- Shilov boundary In functional analysis, the Shilov boundary is the smallest closed subset of the structure space of a commutative Banach algebra where an analog of the…
- Injective tensor product In functional analysis, an area of mathematics, the injective tensor product is a particular topological tensor product, a topological vector space (TVS)…
- Čech cohomology In mathematics, specifically algebraic topology, Čech cohomology is a cohomology theory based on the intersection properties of open covers of a topological…
- Envelope (category theory) In category theory and related fields of mathematics, an envelope is a construction that generalizes the operations of "exterior completion", like completion…