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Everything about Dual space
In mathematics, vector space of linear forms
In mathematics, every vector space has a corresponding dual vector space consisting of all linear forms on together with the vector space structure of pointwise addition and scalar multiplication by constants. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Dual spaceA 5-minute orientation
- Skim a recent paper: From dual digitalization to digital learning space: Exploring the digital transformation of higher educationInfluential work since 2022
- Pick up a classic book: A dual distributional equationThe most-reprinted book on the subject
- Read the landmark paper: Separable dual-space Gaussian pseudopotentialsCited 7,323 times
- Go sideways: Linear formA closely related topic
- Go sideways: Spaces of test functions and distributionsA closely related topic
📖 Definitions
Noun The vector space which comprises the set of linear functionals of a given vector space.
Noun The vector space which comprises the set of continuous linear functionals of a given topological vector space.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Separable dual-space Gaussian pseudopotentials
Relativistic separable dual-space Gaussian pseudopotentials from H to Rn
Dual Space Search During Scientific Reasoning
Dual-Polarization Dual-Coverage Reflectarray for Space Applications
The B dual -Tree: indexing moving objects by space filling curves in the dual space
Single-Layer Dual-Band Dual-Circularly Polarized Reflectarray for Space Communication
Dual Color Space Guided Sketch Colorization
Dual-Space Video Person Re-identification
🆕 Influential since 2022
From dual digitalization to digital learning space: Exploring the digital transformation of higher education
Coordinated control of dual-arm robot on space structure for capturing space targets
Graviton scattering in self-dual radiative space-times
Dual-Modality Space-Time Memory Network for RGBT Tracking
Double-copying self-dual Yang-Mills theory to self-dual gravity on twistor space
📚 Books worth reading
- 📕A dual distributional equationJ. N. Pandey · 1975
Function spaces in modern analysisConference on Function Spaces (6th 2010 Southern Illinois University at Edwardsville) · 2011- 📕Function spaces in analysisConference on Function Spaces (7th 2014 Southern Illinois University at Edwardsville) · 2015
- 📕Concentration, functional inequalities, and isoperimetryChristian Houdre, Christian Houdré · 2011
Functional inequalitiesN. Ghoussoub · 2013- 📕Functional Analysis and GeometryPeter Kuchment, Evgeny Semenov · 2019
- 📕Problems and Recent Methods in Operator TheoryFernanda Botelho, Raena King · 2017
- 📕Harmonic analysisBarry Simon · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Transpose of a linear map In linear algebra and functional analysis, the transpose or algebraic adjoint of a linear map between two vector spaces, defined over the same field, is…
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