| dbo:abstract |
Das semi-innere Produkt ist ein Begriff aus dem mathematischen Teilgebiet der Funktionalanalysis. Es ist für -Vektorräume definiert, wobei für den Körper der reellen oder komplexen Zahlen steht, und verallgemeinert den Begriff des inneren Produktes. (de) In mathematics, there are two different notions of semi-inner-product. The first, and more common, is that of an inner product which is not required to be strictly positive. This article will deal with the second, called a L-semi-inner product or semi-inner product in the sense of Lumer, which is an inner product not required to be conjugate symmetric. It was formulated by Günter Lumer, for the purpose of extending Hilbert space type arguments to Banach spaces in functional analysis. Fundamental properties were later explored by Giles. (en) |
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Das semi-innere Produkt ist ein Begriff aus dem mathematischen Teilgebiet der Funktionalanalysis. Es ist für -Vektorräume definiert, wobei für den Körper der reellen oder komplexen Zahlen steht, und verallgemeinert den Begriff des inneren Produktes. (de) In mathematics, there are two different notions of semi-inner-product. The first, and more common, is that of an inner product which is not required to be strictly positive. This article will deal with the second, called a L-semi-inner product or semi-inner product in the sense of Lumer, which is an inner product not required to be conjugate symmetric. It was formulated by Günter Lumer, for the purpose of extending Hilbert space type arguments to Banach spaces in functional analysis. Fundamental properties were later explored by Giles. (en) |
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Semi-inneres Produkt (de) L-semi-inner product (en) |
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