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Everything about Continuous linear extension
Mathematical method in functional analysis
In functional analysis, it is often convenient to define a linear transformation on a complete, normed vector space by first defining a linear transformation on a dense subset of and then continuously extending to the whole space via the theorem below. The resulting extension remains linear and bounded, and is thus continuous, which makes it a continuous linear extension. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Continuous linear extensionA 5-minute orientation
- Skim a recent paper: Advancing estimation techniques and their applications in engineering and medical data analysis through novel continuous and discrete linear failure rate distribution extensionInfluential work since 2022
- Pick up a classic book: Introduction to operations researchThe most-reprinted book on the subject
- Read the landmark paper: Continuous group invariances of linear Jahn-Teller systems. II. Extension and application to icosahedral systemsCited 43 times
- Go sideways: Nuclear spaceA closely related topic
- Go sideways: Uniform boundedness principleA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Continuous group invariances of linear Jahn-Teller systems. II. Extension and application to icosahedral systems
Extension Theorems of Continuous Random Linear Operators on Random Domains
Simultaneous linear extension of Continuous functions
Continuous linear division and extension of 𝒞∞ functions
An extension of Bass' algorithm for stabilizing linear continuous constant systems
On the extension of continuous linear functionals and best approximation in normed linear spaces
Simultaneous extension of continuous functions considered as a positive linear operation
STRICTLY CONTINUOUS EXTENSION OF FUNCTIONALS WITH LINEAR GROWTH TO THE SPACE BV
🆕 Influential since 2022
📚 Books worth reading
Introduction to operations researchFrederick S. Hillier · 1967
Introduction to Probability and StatisticsJ. Susan Milton, Jesse C. Arnold · 1990
An Introduction to Probability Theory and Its Applications [2/2]William Feller · 1966
Perturbation theory for linear operatorsTosio Katō · 1966
Deterministic and Stochastic Optimal ControlWendell H. Fleming, Raymond W. Rishel · 1975
Practical bifurcation and stability analysisRüdiger Seydel · 1994
Stochastic processesM. M. Rao · 1995
Neuro-fuzzy and soft computingJyh-Shing Roger Jang, Chuen-Tsai Sun · 1996
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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