Théorie des opérations linéaires¶
Banach, S. (1932). Théorie des opérations linéaires.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Boundedness
- Distributed systems and concurrency use boundedness in the form of bounded queues, bounded retries, bounded staleness, bounded consistency windows, and bounded state — an engineering practice whose theoretical lineage runs back to Banach's (1932) foundational treatment of bounded linear operators and their compositional properties.
This sourceMonografje Matematyczne, Warsaw. SUPPORTS D39-088: foundational treatment of bounded linear operators between normed spaces, the operator-norm framework, closure of bounded-operator composition, and the uniform-boundedness (Banach-Steinhaus) principle.
- Distributed systems and concurrency use boundedness in the form of bounded queues, bounded retries, bounded staleness, bounded consistency windows, and bounded state — an engineering practice whose theoretical lineage runs back to Banach's (1932) foundational treatment of bounded linear operators and their compositional properties.
- Linearity
- Mathematics uses linearity as the defining property of vector spaces, linear operators, linear differential and integral equations, linear algebra at every scale (from 2×2 matrices to infinite-dimensional Hilbert spaces
This sourceFoundational treatment of bounded linear operators between normed vector spaces: introduces the operator-norm framework, the closure of bounded-operator composition, and the uniform-boundedness principle (Banach-Steinhaus theorem) — the theoretical lineage from which much of subsequent bounded-systems engineering derives.
- Mathematics uses linearity as the defining property of vector spaces, linear operators, linear differential and integral equations, linear algebra at every scale (from 2×2 matrices to infinite-dimensional Hilbert spaces
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