Antilinear map

id: antilinear-map-169-13491897
title: Antilinear map
text: In mathematics, a function f : V → W between two complex vector spaces is said to be antilinear or conjugate-linear if f = f + f  (additivity)  f = s ¯ f  (conjugate homogeneity)  hold for all vectors x, y ∈ V and every complex number s, where s ¯ denotes the complex conjugate of s. Antilinear maps stand in contrast to linear maps, which are additive maps that are homogeneous rather than conjugate homogeneous. If the vector spaces are real then antilinearity is the same as linearity. Antilinear
brand slug: wiki
category slug: encyclopedia
description: Conjugate homogeneous additive map
original url: https://en.wikipedia.org/wiki/Antilinear_map
date created: 2003-08-10T18:51:01Z
date modified: 2024-08-31T15:02:23Z
main entity: {"identifier":"Q2719767","url":"https://www.wikidata.org/entity/Q2719767"}
image:
fields total: 13
integrity: 15

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