- In mathematics, an
element of a *-algebra is
called self-adjoint if it is the same as its
adjoint (i.e. a = a ∗ {\displaystyle a=a^{*}} ). Let A {\displaystyle...
- In mathematics, a self-adjoint
operator on a
complex vector space V with
inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } is a linear...
- by Ringrose (1965) and have many
interesting properties. They are non-
selfadjoint algebras, are
closed in the weak
operator topology and are reflexive...
- }=U^{-1}}
Hermitian operators (i.e.,
selfadjoint operators): N ∗ = N {\displaystyle N^{\ast }=N} ; (also, anti-
selfadjoint operators: N ∗ = − N {\displaystyle...
- C.
Gohberg and M. G. Krein.
Introduction to the
Theory of
Linear Non-
selfadjoint Operators.
American Mathematical Society, Providence, R.I.,1969. Translated...
-
random and
ergodic Schrödinger operators,
orthogonal polynomials, and non-
selfadjoint spectral theory.
Barry Simon's
mother was a
school teacher, his father...
- can be
given a
coproduct and a
bilinear form
making it into a
positive selfadjoint graded Hopf
algebra that is both
commutative and cocommutative. The study...
- \mathbb {C} ),}
taking the real
parts of the
generated complex unital (
selfadjoint)
algebra agrees with the
generated real
unital algebra generated. As...
-
orthonormal in L2(U). The
inverse Dirichlet Laplacian Δ−1 is a
compact and
selfadjoint operator, and so the
spectral theorem implies that the
eigenvalues of...
- 2307/1970715, JSTOR 1970715
Nicolas Lerner,
Metrics on the
phase space and non-
selfadjoint pseudo-differential operators. Pseudo-Differential Operators. Theory...
