Results 191 to 200 of about 2,806 (244)

Self-Adjoint Operator Polynomials

1989
Let x be a Hilbert space with the scalar product ; x,y ∈ x. In this chapter we consider monic operator polynomials . $$ L\left( \lambda \right) = \mathop \sum \limits_{j = 0}^{\ell - 1} {\lambda ^j}{A_j} + {\lambda ^\ell }I $$ whose coefficients are (bounded) self-adjoint operators on x : Aj = A j * for j = 0,…,l-1.
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Anticommuting Self-Adjoint Operators

1991
For non-degenerate bounded self-adjoint operators A and B the relation $$ AB - \alpha BA = 0\left( {\alpha \in {\mathbb{C}^1}} \right) $$ implies that α= 1 or α = -1, i.e. the operators commute or anticommute. In this chapter we study spectral questions for unbounded anticommuting self-adjoint operators.
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On Self-Adjoint Factorization of Operators

Canadian Journal of Mathematics, 1969
The main result of this paper is that every normal operator on an infinitedimensional (complex) Hilbert space ℋ is the product of four self-adjoint operators; our Theorem 4 is an actually stronger result. A large class of normal operators will be given which cannot be expressed as the product of three self-adjoint operators.This work was motivated by a
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Resolvent estimates for a two-dimensional non-self-adjoint operator

, 2012
Wen Deng
semanticscholar   +1 more source

Unbounded Self-Adjoint Operators

2013
Recall that most of the operators of quantum mechanics, including those representing position, momentum, and energy, are not defined on the entirety of the relevant Hilbert space, but only on a dense subspace thereof.
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Self-adjoint Operators and Eigenfunction Expansions

2011
The relevance of waves in quantum mechanics naturally implies that the decomposition of arbitrary wave packets in terms of monochromatic waves, commonly known as Fourier decomposition after Jean-Baptiste Fourier’s Theorie analytique de la Chaleur (1822), plays an important role in applications of the theory.
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Variational Principles for Eigenvalues of Self-adjoint Operator Functions

, 2004
David Eschwé, M. Langer
semanticscholar   +1 more source

On the basis property of root vectors of a perturbed self-adjoint operator

, 2010
A. Shkalikov
semanticscholar   +1 more source

Variational principles for real eigenvalues of self-adjoint operator pencils

, 2000
P. Binding, David Eschwé, H. Langer
semanticscholar   +1 more source

Self-adjoint operators

2004
Yuli Eidelman, Vitali Milman, Antonis Tsolomitis   +2 more
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