The surjectivity radius, packing numbers and boundedness below of linear operators

DOI10.1007/BF01691904zbMath0511.47002OpenAlexW2045171041MaRDI QIDQ1838691

Endre jun. Makai, Jaroslav Zemánek

Publication date: 1983

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01691904

zbMATH Keywords

minimum moduluspacking numberstopological divisors of zerospectral radius formulaboundedness belowsurjection modulussurjectivity radius formula

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) General theory of linear operators (47A99)

Related Items

Approximation by invertible and noninvertible operators, The reduced minimum modulus and the spectrum, On the estimate of the distance to non-invertibility, Crawford numbers of powers of a matrix, THE UNIQUENESS OF OPERATIONAL QUANTITIES IN VON NEUMANN ALGEBRAS, Local spectral properties of \(m\)-isometric operators, A spectral radius problem connected with weak compactness, Surjective linear maps preserving certain spectral radii, The stability radius of a quasi-Fredholm operator, Classification of multiple unilateral weighted shifts by \(\mathbb{A}_{\aleph_0}\), The stability radius of a semi-Fredholm operator, Nonlinear maps preserving the inner local spectral radius, The distance from the Apostol spectrum, SMALL ESSENTIAL SPECTRAL RADIUS PERTURBATIONS OF OPERATORS WITH TOPOLOGICAL UNIFORM DESCENT, Surjective linear maps preserving local spectra, Additive Maps Preserving the Inner Local Spectral Radius, Spectral theory and hypercyclic subspaces, Distance formulas in the generalized spectrum and the semi-Fredholm spectrum.

Cites Work

• The Packing of Spheres in the Space l^p
• The minimum modulus of a linear operator and its use in spectral theory
• BANACH Coherent Analytic FRÉCHET Sheaves
• The Asymptotic Behavior of the Reduced Minimum Modulus of a Fredholm Operator
• Continuity of Linear Operators Commuting with Continuous Linear Operators. II
• On Packings of Spheres in Hilbert Space
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