Local behaviour of operators
Vladimír Müller (1994)
Banach Center Publications
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Vladimír Müller (1994)
Banach Center Publications
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Mostafa Mbekhta (2007)
Extracta Mathematicae
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Let H be an infinite-dimensional separable complex Hilbert space and B(H) the algebra of all bounded linear operators on H. For an operator T in B(H), let σ(T) denote the generalized spectrum of T. In this paper, we prove that if φ: B(H) → B(H) is a surjective linear map, then φ preserves the generalized spectrum (i.e. σ(φ(T)) = σ(T) for every T ∈ B(H)) if and only if there is A ∈ B(H) invertible such that either φ(T) = ATA for every T ∈ B(H), or φ(T) = ATA for every T ∈ B(H). Also,...
Christoph Schmoeger (1998)
Colloquium Mathematicae
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Angel Martínez Meléndez, Antoni Wawrzyńczyk (1999)
Annales Polonici Mathematici
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For a given unital Banach algebra A we describe joint spectra which satisfy the one-way spectral mapping property. Each spectrum of this class is uniquely determined by a family of linear subspaces of A called spectral subspaces. We introduce a topology in the space of all spectral subspaces of A and utilize it to the study of the properties of the spectra.
Mohamed Barraa, Mohamed Boumazgour (2001)
Extracta Mathematicae
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Amina Šahović, Fikret Vajzović (2008)
Matematički Vesnik
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Johannes Sjöstrand (2009)
Journées Équations aux dérivées partielles
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This text contains a slightly expanded version of my 6 hour mini-course at the PDE-meeting in Évian-les-Bains in June 2009. The first part gives some old and recent results on non-self-adjoint differential operators. The second part is devoted to recent results about Weyl distribution of eigenvalues of elliptic operators with small random perturbations. Part III, in collaboration with B. Helffer, gives explicit estimates in the Gearhardt-Prüss theorem for semi-groups.
Ethier, Dillon, Lindberg, Tova, Luttman, Aaron (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Zhislin, Grigorii (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Castro, Alfonso, Chang, Chen (2010)
Revista Colombiana de Matemáticas
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