Théorie des opérations linéaires¶
Banach, S. (1932). Théorie des opérations linéaires.
Cited by¶
3 citations across 3 artifacts.
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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
- … foundational structural commitment of pure and applied mathematics from the 19th century onward. 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.
- … foundational structural commitment of pure and applied mathematics from the 19th century onward. 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
Domain-specific¶
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