Invariance properties of the Laplace operator

Eichhorn, Jürgen

Displaying similar documents to “Invariance properties of the Laplace operator”

Pseudosymmetric and Weyl-pseudosymmetric $(κ, μ)$ -contact metric manifolds

N. Malekzadeh, E. Abedi, U.C. De (2016)

Archivum Mathematicum

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In this paper we classify pseudosymmetric and Ricci-pseudosymmetric $(κ, μ)$ -contact metric manifolds in the sense of Deszcz. Next we characterize Weyl-pseudosymmetric $(κ, μ)$ -contact metric manifolds.

On $m$ -sectorial Schrödinger-type operators with singular potentials on manifolds of bounded geometry

Ognjen Milatovic (2004)

Commentationes Mathematicae Universitatis Carolinae

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We consider a Schrödinger-type differential expression $H_{V} = \nabla^{*} \nabla + V$ , where $\nabla$ is a $C^{\infty}$ -bounded Hermitian connection on a Hermitian vector bundle $E$ of bounded geometry over a manifold of bounded geometry $(M, g)$ with metric $g$ and positive $C^{\infty}$ -bounded measure $d μ$ , and $V$ is a locally integrable section of the bundle of endomorphisms of $E$ . We give a sufficient condition for $m$ -sectoriality of a realization of $H_{V}$ in $L^{2} (E)$ . In the proof we use generalized Kato’s inequality as well as a result on the positivity of $u \in L^{2} (M)$ satisfying...

On the norm-closure of the class of hypercyclic operators

Christoph Schmoeger (1997)

Annales Polonici Mathematici

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Let T be a bounded linear operator acting on a complex, separable, infinite-dimensional Hilbert space and let f: D → ℂ be an analytic function defined on an open set D ⊆ ℂ which contains the spectrum of T. If T is the limit of hypercyclic operators and if f is nonconstant on every connected component of D, then f(T) is the limit of hypercyclic operators if and only if $f (σ_{W} (T)) \cup z \in ℂ : | z | = 1$ is connected, where $σ_{W} (T)$ denotes the Weyl spectrum of T.

Non-commutative Gelfand-Naimark theorem

Janusz Migda (1993)

Commentationes Mathematicae Universitatis Carolinae

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We show that if Y is the Hausdorffization of the primitive spectrum of a $C^{*}$ -algebra $A$ then $A$ is $*$ -isomorphic to the $C^{*}$ -algebra of sections vanishing at infinity of the canonical $C^{*}$ -bundle over $Y$ .

Addendum to “On Hilbert sets and $C_{λ} (g)$ -spaces with no subspace isomorphic to $c_{0}$ ”

Daniel Li (1995)

Colloquium Mathematicae

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The obstruction to the deformation of a map out of a subspace

R. Dobreńko

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Introduction1. Preliminaries.............................................................................................52. The obstruction to the deformation of a map out of a subspace.............123. The case of smooth closed oriented manifolds.......................................174. The invariant $o_{B} (f)$ for PD-spaces.....................................................215. The local case of obstruction theory.......................................................24References.................................................................................................29 ...

On generalized property (v) for bounded linear operators

J. Sanabria, C. Carpintero, E. Rosas, O. García (2012)

Studia Mathematica

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An operator T acting on a Banach space X has property (gw) if $σ_{a} (T) ∖ σ_{S B F ₊ ¯} (T) = E (T)$ , where $σ_{a} (T)$ is the approximate point spectrum of T, $σ_{S B F ₊ ¯} (T)$ is the upper semi-B-Weyl spectrum of T and E(T) is the set of all isolated eigenvalues of T. We introduce and study two new spectral properties (v) and (gv) in connection with Weyl type theorems. Among other results, we show that T satisfies (gv) if and only if T satisfies (gw) and $σ (T) = σ_{a} (T)$ .

Fermi Golden Rule, Feshbach Method and embedded point spectrum

Jan Dereziński (1998-1999)

Séminaire Équations aux dérivées partielles

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A method to study the embedded point spectrum of self-adjoint operators is described. The method combines the Mourre theory and the Limiting Absorption Principle with the Feshbach Projection Method. A more complete description of this method is contained in a joint paper with V. Jak $\overset{ˇ}{s}$ ić, where it is applied to a study of embedded point spectrum of Pauli-Fierz Hamiltonians.