functional calculus Synonyms
No Synonyms and anytonyms found
functional calculus Meaning
functional calculus (n)
a system of symbolic logic that represents individuals and predicates and quantification over individuals (as well as the relations between propositions)
functional calculus Sentence Examples
- Functional calculus allows us to define functions of bounded linear operators on Banach spaces.
- The spectral theorem provides a crucial tool for applying functional calculus to normal operators.
- Functional calculus enables the investigation of the behavior of operators through their spectrum.
- The Stone-Weierstrass theorem is a fundamental result in functional calculus used to approximate continuous functions on a compact set.
- The Gelfand representation theorem establishes a connection between functional calculus and the theory of commutative Banach algebras.
- Functional calculus is essential for studying group representations and the theory of quantum mechanics.
- The Riesz-Dunford functional calculus extends the notion of functions of operators to unbounded operators with resolvent sets.
- Applications of functional calculus include solving integral equations and studying the stability of differential operators.
- The theory of C*-algebras and functional calculus are closely interconnected, providing a framework for quantum mechanics and operator algebras.
- Functional calculus plays a vital role in spectral theory, allowing for the analysis of operators in terms of their spectra.
FAQs About the word functional calculus
a system of symbolic logic that represents individuals and predicates and quantification over individuals (as well as the relations between propositions)
No synonyms found.
No antonyms found.
Functional calculus allows us to define functions of bounded linear operators on Banach spaces.
The spectral theorem provides a crucial tool for applying functional calculus to normal operators.
Functional calculus enables the investigation of the behavior of operators through their spectrum.
The Stone-Weierstrass theorem is a fundamental result in functional calculus used to approximate continuous functions on a compact set.
