About: Cotlar–Stein lemma

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In mathematics, in the field of functional analysis, the Cotlar–Stein almost orthogonality lemma is named after mathematicians Mischa Cotlarand Elias Stein. It may be used to obtain information on the operator norm on an operator, acting from one Hilbert space into anotherwhen the operator can be decomposed into almost orthogonal pieces.The original version of this lemma(for self-adjoint and mutually commuting operators)was proved by Mischa Cotlar in 1955 and allowed him to conclude that the Hilbert transformis a continuous linear operator in without using the Fourier transform.A more general version was proved by Elias Stein.

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rdfs:label	Lema de Cotlar (es) Cotlar–Stein lemma (en)
rdfs:comment	In mathematics, in the field of functional analysis, the Cotlar–Stein almost orthogonality lemma is named after mathematicians Mischa Cotlarand Elias Stein. It may be used to obtain information on the operator norm on an operator, acting from one Hilbert space into anotherwhen the operator can be decomposed into almost orthogonal pieces.The original version of this lemma(for self-adjoint and mutually commuting operators)was proved by Mischa Cotlar in 1955 and allowed him to conclude that the Hilbert transformis a continuous linear operator in without using the Fourier transform.A more general version was proved by Elias Stein. (en) En el campo del análisis funcional, el lema de ortogonalidad de Cotlar puede ser usado para obtener información de la norma de un operador que actúa desde un Espacio de Hilbert en otro, cuando el operador puede ser descompuesto en piezas ortogonales. (es)
dcterms:subject	Hilbert space Operator theory Harmonic analysis Theorems in functional analysis Lemmas in analysis Inequalities
Wikipage page ID	8203600 (xsd:integer)
Wikipage revision ID	1099656338 (xsd:integer)
Link from a Wikipage to another Wikipage	Hilbert space Operator theory Continuous linear operator Harmonic analysis Theorems in functional analysis Mathematics Operator norm Mischa Cotlar Functional analysis Locally compact space Fourier transform Cauchy sequence Hilbert space Hilbert transform Lemmas in analysis Inequalities Strong operator topology Hilbert spaces Uniform operator topology Self-adjoint Elias Stein Bounded linear operator
sameAs	Cotlar–Stein lemma Cotlar–Stein lemma Cotlar–Stein lemma Cotlar–Stein lemma Cotlar–Stein lemma
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Reflist dbt:Tone dbt:Functional_analysis
has abstract	In mathematics, in the field of functional analysis, the Cotlar–Stein almost orthogonality lemma is named after mathematicians Mischa Cotlarand Elias Stein. It may be used to obtain information on the operator norm on an operator, acting from one Hilbert space into anotherwhen the operator can be decomposed into almost orthogonal pieces.The original version of this lemma(for self-adjoint and mutually commuting operators)was proved by Mischa Cotlar in 1955 and allowed him to conclude that the Hilbert transformis a continuous linear operator in without using the Fourier transform.A more general version was proved by Elias Stein. (en) En el campo del análisis funcional, el lema de ortogonalidad de Cotlar puede ser usado para obtener información de la norma de un operador que actúa desde un Espacio de Hilbert en otro, cuando el operador puede ser descompuesto en piezas ortogonales. (es)
prov:wasDerivedFrom	wikipedia-en:Cotlar–Stein_lemma?oldid=1099656338&ns=0
page length (characters) of wiki page	6638 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Cotlar–Stein_lemma
is Link from a Wikipage to another Wikipage of	List of lemmas Elias M. Stein Mischa Cotlar Cotlar-Stein lemma Cotlar's lemma Cotlar-Knapp-Stein lemma Cotlar lemma
is Wikipage redirect of	Cotlar-Stein lemma Cotlar's lemma Cotlar-Knapp-Stein lemma Cotlar lemma
is foaf:primaryTopic of	wikipedia-en:Cotlar–Stein_lemma

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