The New Encyclopædia Britannica: L-ZEncyclopædia Britannica, 1992 - 32 pages |
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Page 267
... spaces U1 , U2 , if for every bilinear mapping σ from u , XU , into I , there exists a unique linear transformation from A into an arbitrary vector space 3 over F , such that Tσ ( see 132 ) . The existence of a tensor product , so ...
... spaces U1 , U2 , if for every bilinear mapping σ from u , XU , into I , there exists a unique linear transformation from A into an arbitrary vector space 3 over F , such that Tσ ( see 132 ) . The existence of a tensor product , so ...
Page 457
... space is called a unitary space . A major distinction between Euclidean and unitary spaces occurs in the definition of angle . In either case the Schwarz inequality assumes the same form ( see 62 ) . In the Euclidean case there is ...
... space is called a unitary space . A major distinction between Euclidean and unitary spaces occurs in the definition of angle . In either case the Schwarz inequality assumes the same form ( see 62 ) . In the Euclidean case there is ...
Page 517
... space of functions in which every parallelogram has this prop- erty is called a Hilbert space , in honour of Hilbert , whose penetrating investigations of integral equations in certain particular spaces of this kind influenced the ...
... space of functions in which every parallelogram has this prop- erty is called a Hilbert space , in honour of Hilbert , whose penetrating investigations of integral equations in certain particular spaces of this kind influenced the ...
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