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Everything about Sublinear function
Type of function in linear algebra
In linear algebra, a sublinear function, also called a quasi-seminorm, on a vector space is a real-valued function with some of the properties of a seminorm. Unlike seminorms, a sublinear function does not have to be nonnegative-valued and also does not have to be absolutely homogeneous. Seminorms are themselves abstractions of the more well known notion of norms, where a seminorm has all the defining properties of a norm except that it is not required to map non-zero vectors to non-zero values. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Sublinear functionA 5-minute orientation
- Skim a recent paper: Strong type inequalities for sublinear operator on weighted modular Banach function spacesInfluential work since 2022
- Pick up a classic book: Variational principles in mathematical physics, geometry, and economicsThe most-reprinted book on the subject
- Read the landmark paper: Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion PathsCited 413 times
- Go sideways: SeminormA closely related topic
- Go sideways: Metrizable topological vector spaceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Function Spaces and Capacity Related to a Sublinear Expectation: Application to G-Brownian Motion Paths
Sublinear functionals and conical measures
Minimal sublinear functionals
Sublinear functions onR
Pointwise multiple averages for sublinear functions
Sublinear operators on radial rearrangement-invariant quasi-Banach function spaces
Variable Exponent Function Spaces related to a Sublinear Expectation
Corrigendum to “Variable Exponent Function Spaces related to a Sublinear Expectation”
🆕 Influential since 2022
📚 Books worth reading
- 📕Variational principles in mathematical physics, geometry, and economicsAlexandru Kristály · 2010
- 📕Capacity as a sublinear functional generalizing an integralBent Fuglede · 1971
Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic EquationsRavi P. Agarwal · 2002
Membrane ComputingErzsébet Csuhaj-Varjú · 2013
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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