sesquilinear
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Sesquilinear form — In mathematics, a sesquilinear form on a complex vector space V is a map V times; V rarr; C that is linear in one argument and antilinear in the other. The name originates from the numerical prefix meaning one and a half . Compare with a bilinear … Wikipedia
Sesquilinear — Als Sesquilinearform (lat. sesqui = anderthalb) bezeichnet man in der linearen Algebra eine Funktion, die zwei Vektoren einen Skalarwert zuordnet, und die linear in einem, semilinear im anderen ihrer beiden Argumente ist. Die beiden Argumente… … Deutsch Wikipedia
sesquilinear — adjective Linear in one coordinate and conjugate linear in the other … Wiktionary
Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… … Wikipedia
Dual space — In mathematics, any vector space, V, has a corresponding dual vector space (or just dual space for short) consisting of all linear functionals on V. Dual vector spaces defined on finite dimensional vector spaces can be used for defining tensors… … Wikipedia
Gupta-Bleuler formalism — In quantum field theory, the Gupta Bleuler formalism is a way of quantizing the electromagnetic field. The formulation is due to theoretical physicist Suraj N. Gupta and Konrad Bleuler.Let s start with a single photon first. A basis of the one… … Wikipedia
Signature of a knot — The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface.Given a knot K in the 3 sphere, it has a Seifert surface S whose boundary is K . The Seifert form of S is the pairing phi : H 1(S) imes … Wikipedia
Positive-definite matrix — In linear algebra, a positive definite matrix is a matrix that in many ways is analogous to a positive real number. The notion is closely related to a positive definite symmetric bilinear form (or a sesquilinear form in the complex case). The… … Wikipedia
Bilinear form — In mathematics, a bilinear form on a vector space V is a bilinear mapping V × V → F , where F is the field of scalars. That is, a bilinear form is a function B : V × V → F which is linear in each argument separately::egin{array}{l} ext{1. }B(u + … Wikipedia
Topological tensor product — In mathematics, there are usually many different ways to construct a topological tensor product of two topological vector spaces. For Hilbert spaces or nuclear spaces there is a simple well behaved theory of tensor products (see Tensor product of … Wikipedia
Classical group — For the book by Weyl, see The Classical Groups. Lie groups … Wikipedia
