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Everything about Continuous linear operator
Function between topological vector spaces
In functional analysis and related areas of mathematics, a continuous linear operator or continuous linear mapping is a continuous linear transformation between topological vector spaces. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Continuous linear operatorA 5-minute orientation
- Skim a recent paper: Biogeography Based optimization with Salp Swarm optimizer inspired operator for solving non-linear continuous optimization problemsInfluential work since 2022
- Pick up a classic book: Automatic continuity of linear operatorsThe most-reprinted book on the subject
- Read the landmark paper: A Linear Discontinuous Galerkin Approximation for the Continuous Slowing Down OperatorCited 16 times
- Go sideways: Bounded operatorA closely related topic
- Go sideways: Topological vector spaceA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A Linear Discontinuous Galerkin Approximation for the Continuous Slowing Down Operator
Each non-zero convolution operator on the entire functions admits a continuous linear right inverse
The norm of continuous linear operator between two fuzzy quasi-normed spaces
Stochastic linear operator as a characteristic of a continuous flow system
Continuous regularization of linear operator equations in a Hilbert space
Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth
A continuous linear right inverse of the representation operator and applications to the convolution operators
Characterizing weak-operator continuous linear functionals on $B(H)$ constructively
🆕 Influential since 2022
Biogeography Based optimization with Salp Swarm optimizer inspired operator for solving non-linear continuous optimization problems
Results of Semigroup of Linear Operator Generating a Continuous Time Markov Semigroup
Pareto vectors of continuous linear operators
The Infinitesimal Generator of Continuous Semigroup of Linear Operator
Results of Hankel Semigroup of Linear Operator as Eventually Uniform Continuous Semigroup
📚 Books worth reading
Automatic continuity of linear operatorsAllan M. Sinclair · 1976
Realizability theory for continuous linear systemsA. H. Zemanian · 1972
The approximation of continuous functions by positive linear operatorsRonald A. DeVore · 1972
Radical Banach Algebras and Automatic ContinuityJ.M. Bachar, W. G. Bade · 1983- 📕Conference on Automatic Continuity and Banach Algebras. (Proceedings of the Centre for Mathematical Analysis. Australian National University Volume 21, 1989.)Richard Loy · 1989
- 📕Ergodic theory for continuous semi-groups of operatorsJoseph Cunsolo · 1969
- 📕Conference on Automatic Continuity and Banach AlgebrasConference on Automatic Continuity and Banach algebras (1989 Canberra, A.C.T.) · 1989
- 📕Ergodic theory for continuous semigroups of operatorsCunsolo · 1969
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Bounded operator In functional analysis and operator theory, a bounded linear operator is a special kind of linear transformation that is particularly important in infinite…
- Topological vector space In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures…
- Bornological space In mathematics, particularly in functional analysis, a bornological space is a type of space which, in some sense, possesses the minimum amount of structure…
- Locally convex topological vector space In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological…
- Barrelled space In functional analysis and related areas of mathematics, a barrelled space (also written barreled space) is a topological vector space (TVS) for which…
- Banach–Alaoglu theorem In functional analysis and related branches of mathematics, the Banach–Alaoglu theorem (also known as Alaoglu's theorem) states that the closed unit ball…
- Bounded set (topological vector space) In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood…
- Metrizable topological vector space In functional analysis and related areas of mathematics, a metrizable (resp. pseudometrizable) topological vector space (TVS) is a TVS whose topology is…