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On rank one H−3perturbations of positive selfadjoint operators
 413–422, CMS CONF. PROC
, 2000
"... Rank one H−3 perturbations of positive self–adjoint operators are constructed using a certain extended Hilbert space and regularization procedures. Applications to Schrödinger operators with point interactions are discussed. ..."
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Cited by 7 (4 self)
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Rank one H−3 perturbations of positive self–adjoint operators are constructed using a certain extended Hilbert space and regularization procedures. Applications to Schrödinger operators with point interactions are discussed.
Grounding in communication
 In
, 1991
"... We give a general analysis of a class of pairs of positive selfadjoint operators A and B for which A + XB has a limit (in strong resolvent sense) as h10 which is an operator A, # A! Recently, Klauder [4] has discussed the following example: Let A be the operator(d2/A2) + x2 on L2(R, dx) and let ..."
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Cited by 1082 (19 self)
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We give a general analysis of a class of pairs of positive selfadjoint operators A and B for which A + XB has a limit (in strong resolvent sense) as h10 which is an operator A, # A! Recently, Klauder [4] has discussed the following example: Let A be the operator(d2/A2) + x2 on L2(R, dx) and let
Stability of coupled second order equations.
"... In [13], D. L. Russell considered a linear oscillator in a Hilbert space H represented in the form u′′(t) +Au(t) = h (1) where A is a (generally unbounded) positive selfadjoint operator on H. He ..."
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In [13], D. L. Russell considered a linear oscillator in a Hilbert space H represented in the form u′′(t) +Au(t) = h (1) where A is a (generally unbounded) positive selfadjoint operator on H. He
Diagonals of selfadjoint operators
"... Abstract. The eigenvalues of a selfadjoint n×n matrix A can be put into a decreasing sequence λ = (λ1,..., λn), with repetitions according to multiplicity, and the diagonal of A is a point of R n that bears some relation to λ. The SchurHorn theorem characterizes that relation in terms of a system ..."
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Cited by 10 (1 self)
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properties of selfadjoint operators in II1 factors to their images under a conditional expectation onto a maximal abelian subalgebra. 1. Preface These are research notes that are not intended for publication in their present form. They summarize some of the results of a project begun by the authors
Positive forms on Banach spaces
 Acta Math. Hungar
"... The first representation theorem establishes a correspondence between positive, selfadjoint operators and closed, positive forms on Hilbert spaces. The aim of this paper is to show that some of the results remain true if the underlying space is a reflexive Banach space. In particular, the construct ..."
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Cited by 3 (0 self)
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The first representation theorem establishes a correspondence between positive, selfadjoint operators and closed, positive forms on Hilbert spaces. The aim of this paper is to show that some of the results remain true if the underlying space is a reflexive Banach space. In particular
Selfadjoint Operators and Cones
 J. London Math. Soc
"... Suppose that K is a cone in a real Hilbert space H with K ? = f0g and that A : H ! H is a selfadjoint operator which maps K into itself. If kAk is an eigenvalue of A, it is shown that it has an eigenvector in the cone. As a corollary it follows that if k A k n is an eigenvalue of A n then ..."
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Cited by 8 (0 self)
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Suppose that K is a cone in a real Hilbert space H with K ? = f0g and that A : H ! H is a selfadjoint operator which maps K into itself. If kAk is an eigenvalue of A, it is shown that it has an eigenvector in the cone. As a corollary it follows that if k A k n is an eigenvalue of A n
High Order Singular Rank One Perturbations of a Positive Operator
 INTEGRAL EQUATIONS AND OPERATOR THEORY
, 2005
"... In this paper selfadjoint realizations in Hilbert and Pontryagin spaces of the formal expression Lα = L + α 〈 · , ϕ〉ϕ are discussed and compared. Here L is a positive selfadjoint operator in a Hilbert space H with inner product 〈 · , · 〉, α is a real parameter, and ϕ in the rank one perturbat ..."
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Cited by 4 (0 self)
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In this paper selfadjoint realizations in Hilbert and Pontryagin spaces of the formal expression Lα = L + α 〈 · , ϕ〉ϕ are discussed and compared. Here L is a positive selfadjoint operator in a Hilbert space H with inner product 〈 · , · 〉, α is a real parameter, and ϕ in the rank one
Selfadjoint curl operators
, 2008
"... Abstract. We study the exterior derivative as a symmetric unbounded operator on square integrable 1forms on a 3D bounded domain D. We aim to identify boundary conditions that render this operator selfadjoint. By the symplectic version of the GlazmanKreinNaimark theorem this amounts to identifyin ..."
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Cited by 2 (0 self)
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Abstract. We study the exterior derivative as a symmetric unbounded operator on square integrable 1forms on a 3D bounded domain D. We aim to identify boundary conditions that render this operator selfadjoint. By the symplectic version of the GlazmanKreinNaimark theorem this amounts
SelfAdjointness Of Schrödinger Operators
"... Starting from the example of solving the Schrodinger equation, the concept of (essential) selfadjointness of a linear operator in a Hilbert space is developed. Some general criteria to prove this quality are presented and applied to Schrodinger operators of the form \Gamma4 + V in L 2 \Gamma R d ..."
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Starting from the example of solving the Schrodinger equation, the concept of (essential) selfadjointness of a linear operator in a Hilbert space is developed. Some general criteria to prove this quality are presented and applied to Schrodinger operators of the form \Gamma4 + V in L 2 \Gamma R
Results 1  10
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2,905,038