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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 {\displaystyle V} with inner product ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot...

zeta function can be interpreted as evidence that they may arise from a selfadjoint operator or from a chaotic dynamical system. This gives a heuristic picture...

random and ergodic Schrödinger operators, orthogonal polynomials, and non-selfadjoint spectral theory. Barry Simon's mother was a school teacher, his father...

Quantum Mechanics", Cambridge University Press, Cambridge, 2011 "Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects". Wiley.com. 2015-07-20...

}=U^{-1}} Hermitian operators (i.e., selfadjoint operators): N ∗ = N {\displaystyle N^{\ast }=N} ; (also, anti-selfadjoint operators: N ∗ = − N {\displaystyle...

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...

\mathbb {C} ),} taking the real parts of the generated complex unital (selfadjoint) algebra agrees with the generated real unital algebra generated. As...

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...

related to second order elliptic equation and systems of equations, selfadjoint" (English translation of the title), Gaetano Fichera gives the first...

C. Gohberg and M. G. Krein. Introduction to the Theory of Linear Non-selfadjoint Operators. American Mathematical Society, Providence, R.I., 1969. Translated...

2307/1970715, JSTOR 1970715 Nicolas Lerner, Metrics on the phase space and non-selfadjoint pseudo-differential operators. Pseudo-Differential Operators. Theory...

developed a universal method that made it possible for an arbitrary selfadjoint second-order operator in an arbitrary (not necessarily bounded) domain...

singular traces of products. For a product ST where S is bounded and T is selfadjoint and belongs to a two-sided ideal J then φ ( S T ) = f ( { ⟨ S e n , e...

Russian). Nauka. Birman, M. Sh.; Solomyak, M. Z. (1980). Spectral theory of selfadjoint operators in Hilbert space (in Russian). Leningrad. Univ. Birman, M....

definite and therefore invertible. The importance of strong ellipticity in selfadjoint differential operators can be illustrated by Euler buckling, where a...

vector space. Eidelheit A theorem of Eidelheit. essentially selfadjoint An essentially selfadjoint operator. factor A factor is a von Neumann algebra with...

New Series. 72 (114): 507–536. Pastur, L.A. (1973). "Spectra of random selfadjoint operators". Uspekhi Mat. Nauk. 28 (1(169)): 3–64. Pastur, L.; Shcherbina...

I︠U︡riĭ Makarovich Berezanskiĭ (1968). Expansions in eigenfunctions of selfadjoint operators; Vol. 17 in Translations of mathematical monographs. American...

Berezanskij, Jurij Makarovič (1968). Expansions in eigenfunctions of selfadjoint operators. Providence, RI: American Mathematical Soc. pp. 45–47. ISBN 978-0-8218-1567-0...

weakly non-selfadjoint operators was applied to scattering theory. For the first time completeness of the set of root vectors of some non-selfadjoint integral...

related to second order elliptic equation and systems of equations, selfadjoint], Annali della Scuola Normale Superiore, Serie III (in Italian), 1 (1–4):...