Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a sesquilinear form on a complex vector space V is a map V × V ¿ C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix sesqui- meaning "one and a half". Compare with a bilinear form, which is linear in both argum ...Täielik kirjeldus
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a sesquilinear form on a complex vector space V is a map V × V ¿ C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix sesqui- meaning "one and a half". Compare with a bilinear form, which is linear in both arguments; although many authors, especially when working solely in a complex setting, refer to sesquilinear forms as bilinear forms. A motivating example is the inner product on a complex vector space, which is not bilinear, but instead sesquilinear. See geometric motivation below. Conventions differ as to which argument should be linear. We take the first to be conjugate-linear and the second to be linear. This is the convention used by essentially all physicists and originates in Dirac's bra-ket notation in quantum mechanics. The opposite convention is perhaps more common in mathematics but is not universal.