Wikipedia:WikiProject Mathematics/PlanetMath Exchange/47-XX Operator theory: Difference between revisions

Revision as of 02:11, 20 August 2007

Latest revision as of 07:25, 9 February 2023

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==47-00 General reference works (handbooks, dictionaries, bibliographies, etc.)==

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=9729 operator topologies], id=9729^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[operator topologies]] -- Status:

==47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)==

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* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=4524 properties of the adjoint operator], id=4524 -- WP guess: [[properties of the adjoint operator]] -- Status:

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=8075 polar decomposition], id=8075^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[polar decomposition]] -- Status:

==47A07 Forms (bilinear, sesquilinear, multilinear)==

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==47A12 Numerical range, numerical radius==

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=9212 Dunkl-Williams inequality], id=9212^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[Dunkl-Williams inequality]] -- Status:

==47A15 Invariant subspaces==

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* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=7457 stationary point], id=7457 -- WP guess: [[stationary point]] -- Status:

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=8074 Russo-Dye theorem], id=8074^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[Russo-Dye theorem]] -- Status:

==47Axx General theory of linear operators==

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==47B38 Operators on function spaces (general)==

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=7654 multiplication operator on L^2], id=7654^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[multiplication operator on L^2]] -- Status:

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=7798 operator norm of multiplication operator on L^2], id=7798^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[operator norm of multiplication operator on L^2]] -- Status:

==47Bxx Special classes of linear operators==

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==47C10 Operators in $^*$-algebras==

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=7830 partial isometry], id=7830^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[partial isometry]] -- Status:

==47C15 Operators in $C^*$- or von Neumann algebras==

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* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=3642 proof of Brouwer fixed point theorem], id=3642 -- WP guess: [[proof of Brouwer fixed point theorem]] -- Status:

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=8597 KKM lemma], id=8597^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[KKM lemma]] -- Status:

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=9274 the topologist's sine curve has the fixed point property], id=9274^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[the topologist's sine curve has the fixed point property]] -- Status:

==47Hxx Nonlinear operators and their properties==

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:: [[User:Oleg Alexandrov|Oleg Alexandrov]] ([[User talk:Oleg Alexandrov|talk]]) 04:36, 10 March 2006 (UTC)

* PM: [http://planetmath.org/?op=getobj&amp;from=objects&amp;id=7732 derivative operator is unbounded in the sup norm], id=7732^{<fontspan colorstyle="color:red;">new!</fontspan>} -- WP guess: [[derivative operator is unbounded in the sup norm]] -- Status:

==47Lxx Linear spaces and algebras of operators==