46 Functional analysis

See MSC 46 on zbMATH Open.

Name	Tag	Kind	MSC
Normed vector space	00A0RPAQ8A	definition	46B20
Inner product space	01EK923SKP	definition	15A63, 46C05
Parallelogram law	026HPGYGS4	statement	46C05
Normed vector space	03J5RAKB30	concept	46B20
Equivalence of norms in finite dimension	03MC70ZRNR	statement	46B20
Parseval's identity	047RFCNVSK	statement	46C05
Riesz representation theorem in finite dimensions	04GYPXDXNH	statement	46C05, 15A04
Polarisation identity	05FKHRT0B4	statement	46C05, 15A63
Fréchet derivative	06EH97V2A7	concept	46G05
Banach space	06GZ956657	concept	46B99
Uniform metric on bounded functions	06HE9J7DXF	example	46E99
Linear isometry	0717XXPWM6	definition	15A04, 46B04
Orthogonal complement	079D68S3AW	definition	15A63, 46C05
Linear isometry	07SJXTWVQW	concept	15A04, 46B04
Fréchet derivative	08EVNYZF42	definition	46G05
Norm	08NYZ2FS6B	definition	46B20
Sequence spaces lp	08P6T2WH6R	example	46B45
Riesz's lemma	097C7KCAT5	statement	46B20
Coordinates in an orthonormal basis	09DZ8CD1AK	statement	15A63, 46C05
Orthonormal family	09VYHEF2VT	definition	15A63, 46C05
Finite-dimensional normed spaces are complete	0ABP2F2ZP7	statement	46B99
Orthogonal projection	0B8KZRT28M	concept	15A04, 46C05
Banach space	0BDTTM24DP	definition	46B99
Pythagorean theorem in an inner product space	0BVTDM872V	statement	46C05
Dimension of the orthogonal complement	0E2NYPVSP9	statement	15A03, 46C05
Triangle inequality for norms	0FJZMBX0ZZ	statement	46B20
Orthonormal basis	0FWJ0VW561	definition	15A63, 46C05
Function space	0GZB2SN0PH	example	15A03, 46E99
Equivalent norms	0J3578562S	definition	46B20
An orthonormal family is linearly independent	0JWM6GJNQW	statement	15A63, 46C05
Norm induced by an inner product	0KG4D8AP6G	definition	46C05
p-norm on R^n	0KNJWEVSMG	example	46B20
Dirac delta function	0KPHENZ5S7	object	46F10
Equivalent norms	0M85DXB5RM	concept	46B20
Orthogonal projection is the closest point	0MCDDSCB9Z	statement	46C05, 65F20
Norm induced by an inner product	0MFJJV97RJ	concept	46C05
Inner product	0NB0AWGJBW	concept	15A63, 46C05
Sup norm on bounded continuous functions	0PARCKE8WP	example	46E15
Heine–Borel theorem in finite-dimensional normed spaces	0PHT6NBYPB	statement	46B20
Orthogonal complement of the orthogonal complement	0PXN9G4MX1	statement	46C05
Orthogonal projection	0Q8HZTJC7G	definition	15A04, 46C05
Inner product space	0QVNCJXRY3	concept	15A63, 46C05
A linear isometry preserves the inner product	0R7VXTYHYZ	statement	15A04, 46C05
Bessel's inequality	0RBT5PB74K	statement	46C05
Cauchy–Schwarz inequality	0RFWW56Y22	statement	15A63, 46C05
Orthonormal family	0RW9TNNT87	concept	15A63, 46C05
Orthonormal basis	0S9GGTR0EX	concept	15A63, 46C05
A space is the direct sum of a subspace and its orthogonal complement	0SP7P0G7KQ	statement	46C05
p-metric on R^n	0TFDZN6AXP	example	46B20
Orthogonal vectors	0TS7VZJBWD	definition	15A63, 46C05
Norm	0V2WP9B1MF	concept	46B20
Inner product	0VGSYBWHV2	definition	15A63, 46C05
Compact closed unit ball implies finite dimension	0VZVV8VME5	statement	46B50
Orthogonal complement	0XJXTBCB2T	concept	15A63, 46C05
Orthogonal vectors	0Y2X7P2WB7	concept	15A63, 46C05
Existence of an orthonormal basis	0Y85GYEGSF	statement	15A63, 46C05