The spectrum of an element in a Banach-Kantorovich algebra over a ring of measurable functions

DOI10.1007/S43036-021-00176-9zbMath1485.46052OpenAlexW4200295696MaRDI QIDQ2062312

Allabay Arziev, Karimbergen K. Kudaybergenov

Publication date: 27 December 2021

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00176-9

zbMATH Keywords

spectrummeasurable functionBanach-Kantorovich algebracyclical compactness

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (2)

Partial integral operators on Banach-Kantorovich spaces ⋮ The Mercer's theorem for partial integral operators

Cites Work

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• Banach bundles in the theory of lattice-normed spaces. I: Continuous Banach bundles
• Banach bundles in the theory of lattice-normed spaces. II: Measurable Banach bundles
• Banach bundles in the theory of lattice-normed spaces. III
• On some integral equations in Hilbert space with an application to the theory of elasticity
• A note on the Fredholm property of partial integral equations of Romanovskij type
• Derivations in algebras of operator-valued functions
• Functional Analysis
• Modules Over Operator Algebras

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