Cover Image

The Duistermaat index and eigenvalue interlacing for self-adjoint extensions of a symmetric operator

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Berkolaiko, Gregory, Cox, Graham, Latushkin, Yuri, Sukhtaiev, Selim
Format:	Preprint
Published:	2023
Subjects:	Spectral Theory Symplectic Geometry 47A55, 47B25, 47A10, 47A06, 47A06, 53D12
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The calculus of Duistermaat's triple index
by: Berkolaiko, Gregory, et al.
Published: (2024)

Hadamard-type formulas for real eigenvalues of canonically symplectic operators
by: Curran, Mitchell, et al.
Published: (2026)

The Friedrichs extension of a class of discrete symplectic systems
by: Zemánek, Petr
Published: (2024)

On spectral stability for self-adjoint extensions
by: Caballero, Mario Alberto Ruiz
Published: (2026)

Complex analysis of symmetric operators, I
by: Wang, Yicao
Published: (2024)

Some Remarks On Krein--von Neumann Extensions
by: Gesztesy, Fritz, et al.
Published: (2025)

Complex analysis of symmetric operators. II: entire operators with deficiency index 1
by: Wang, Yicao
Published: (2025)

Spectral inclusions of perturbed normal operators and applications
by: Moreno, Javier, et al.
Published: (2023)

Spectral Properties of Off Diagonal Block Linear Relations via Moore Penrose Inverses in Hilbert Spaces
by: Majumdar, Arup
Published: (2025)

Quasi-selfadjoint extensions of dual pairs of linear relations
by: Xu, Guixin, et al.
Published: (2024)

Resolvent and spectrum for discrete symplectic systems in the limit point case
by: Zemánek, Petr
Published: (2024)

Fredholmness and Weylness of block operator matrices
by: Sarajlija, Nikola
Published: (2021)

Invertibility properties of operator matrices on Hilbert spaces
by: Sarajlija, Nikola
Published: (2021)

A brief overview of spectral perturbation Theory
by: Alam, Rafikul
Published: (2025)

Spectrum and convergence of eventually positive operator semigroups
by: Arora, Sahiba, et al.
Published: (2020)

Higher order spectral shift of Euclidean Callias operators
by: Fürst, Oliver
Published: (2025)

On Spectral Stability for Rank One Perturbations
by: Caballero, Mario Alberto Ruiz, et al.
Published: (2025)

Product of nonnegative selfadjoint operators in unbounded settings
by: Barkaoui, Yosra, et al.
Published: (2025)

Friedrichs and Kre\uın type extensions in terms of representing maps
by: Hassi, Seppo, et al.
Published: (2024)

A new approach to $γ$-bounded representations
by: Merdy, Christian Le
Published: (2024)

Remarks on infimum and maximal lower bounds of a set of bounded self-adjoint operators
by: Günther, Matthias, et al.
Published: (2026)

Spectral theory for semigroups on locally convex spaces
by: Kruse, Karsten
Published: (2025)

Proper splittings of Hilbert space operators
by: Fongi, Guillermina, et al.
Published: (2024)

Non-symmetric Lévy-type operators
by: Minecki, Jakub, et al.
Published: (2021)

Examples of cyclic polynomially bounded operators that are not similar to contractions
by: Gamal', Maria F.
Published: (2024)

Maximally dissipative and self-adjoint extensions of $K$-invariant operators
by: Fischbacher, Christoph, et al.
Published: (2025)

Hyers-Ulam stability of closed linear relations in Hilbert spaces
by: Majumdar, Arup
Published: (2025)

Locus of non-real eigenvalues of a class of linear relations in a Krein space
by: Jursenas, Rytis
Published: (2024)

Real spectral shift functions for pairs of contractions and pairs of dissipative operators
by: Malamud, M. M., et al.
Published: (2026)

Self-adjoint extensions of symmetric relations associated with systems of ordinary differential equations with distributional coefficients
by: Redolfi, Steven, et al.
Published: (2026)

Functions of dissipative operators under relatively bounded and relatively trace class perturbations
by: Aleksandrov, Aleksei, et al.
Published: (2025)

On spectral inclusion and mapping theorems for scalar type spectral operators and semigroups
by: Markin, Marat V.
Published: (2020)

Hyperinvariant subspaces for normaloid essential isometric operators
by: Bala, Neeru, et al.
Published: (2020)

Upper triangular operator matrices and stability of their various spectra
by: Sarajlija, Nikola
Published: (2021)

Nayak's theorem for compact operators
by: Bhat, B V Rajarama, et al.
Published: (2024)

A new seminorm of $n$-tuple operators and its applications
by: Bhunia, Pintu, et al.
Published: (2025)

On expansive operators that are quasisimilar to the unilateral shift of finite multiplicity
by: Gamal', Maria F.
Published: (2023)

Spectra of typical Hilbert space operators
by: Scherer, Marcel
Published: (2023)

Approximation results on s-numbers of operators
by: P, Deepesh K
Published: (2024)

On commutants of composition operators embedded into $C_0$-semigroups
by: González-Doña, F. Javier
Published: (2024)