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- Indefinite_inner_product_space abstract "In mathematics, in the field of functional analysis, an indefinite inner product space is an infinite-dimensional complex vector space equipped with both an indefinite inner product and a positive semi-definite inner product where the metric operator is an endomorphism of obeying The indefinite inner product space itself is not necessarily a Hilbert space; but the existence of a positive semi-definite inner product on implies that one can form a quotient space on which there is a positive definite inner product. Given a strong enough topology on this quotient space, it has the structure of a Hilbert space, and many objects of interest in typical applications fall into this quotient space.An indefinite inner product space is called a Krein space (or -space) if is positive definite and possesses a majorant topology. Krein spaces are named in honor of the Ukrainian mathematician Mark Grigorievich Krein (3 April 1907 – 17 October 1989).".
- Indefinite_inner_product_space wikiPageID "5571012".
- Indefinite_inner_product_space wikiPageRevisionID "544418699".
- Indefinite_inner_product_space first "B.S.".
- Indefinite_inner_product_space first "H.".
- Indefinite_inner_product_space first "N.K.".
- Indefinite_inner_product_space hasPhotoCollection Indefinite_inner_product_space.
- Indefinite_inner_product_space id "h/h047390".
- Indefinite_inner_product_space id "k/k055840".
- Indefinite_inner_product_space id "p/p073800".
- Indefinite_inner_product_space last "Langer".
- Indefinite_inner_product_space last "Nikol'skii".
- Indefinite_inner_product_space last "Pavlov".
- Indefinite_inner_product_space title "Hilbert space with an indefinite metric".
- Indefinite_inner_product_space title "Krein space".
- Indefinite_inner_product_space title "Pontryagin space".
- Indefinite_inner_product_space subject Category:Operator_theory.
- Indefinite_inner_product_space subject Category:Topological_vector_spaces.
- Indefinite_inner_product_space type Abstraction100002137.
- Indefinite_inner_product_space type Attribute100024264.
- Indefinite_inner_product_space type Space100028651.
- Indefinite_inner_product_space type TopologicalVectorSpaces.
- Indefinite_inner_product_space comment "In mathematics, in the field of functional analysis, an indefinite inner product space is an infinite-dimensional complex vector space equipped with both an indefinite inner product and a positive semi-definite inner product where the metric operator is an endomorphism of obeying The indefinite inner product space itself is not necessarily a Hilbert space; but the existence of a positive semi-definite inner product on implies that one can form a quotient space on which there is a positive definite inner product. ".
- Indefinite_inner_product_space label "Indefinite inner product space".
- Indefinite_inner_product_space label "Kreinraum".
- Indefinite_inner_product_space sameAs Kreinraum.
- Indefinite_inner_product_space sameAs m.0dt23_.
- Indefinite_inner_product_space sameAs Q1787158.
- Indefinite_inner_product_space sameAs Q1787158.
- Indefinite_inner_product_space sameAs Indefinite_inner_product_space.
- Indefinite_inner_product_space wasDerivedFrom Indefinite_inner_product_space?oldid=544418699.
- Indefinite_inner_product_space isPrimaryTopicOf Indefinite_inner_product_space.