The Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups

DOI10.1007/s11854-016-0005-0zbMath1342.35462arXiv1306.0041OpenAlexW3103347576WikidataQ115377726 ScholiaQ115377726MaRDI QIDQ279755

Aparajita Dasgupta, Michael Ruzhansky

Publication date: 29 April 2016

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.0041

zbMATH Keywords

essential spectrumcompact Lie groupsGohberg's lemma

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Analysis on real and complex Lie groups (22E30)

Related Items (10)

Besov continuity for pseudo-differential operators on compact homogeneous manifolds ⋮ A study on the adjoint of pseudo-differential operators on compact lie groups ⋮ Non‐harmonic Gohberg's lemma, Gershgorin theory and heat equation on manifolds with boundary ⋮ -BOUNDS FOR PSEUDO-DIFFERENTIAL OPERATORS ON COMPACT LIE GROUPS ⋮ Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups ⋮ \(L^{p}\)-boundedness, compactness of pseudo-differential operators on compact Lie groups ⋮ Difference equations and pseudo-differential operators on \(\mathbb{Z}^n\) ⋮ Pseudo-differential operators, Wigner transform and Weyl transform on the similitude group, \(\mathbb{SIM}(2)\) ⋮ Pseudo-differential operators on \(\mathbb{Z}^n\) with applications to discrete fractional integral operators ⋮ Hörmander classes of pseudo-differential operators over the compact group of \(p\)-adic integers

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