Objective
Research objectives and content
The project aims at creating new insight into the structure of the Banach algebra B(X) of all operators in a Banach space X and certain closed ideals in B(X). The focus is in particular on the interplay between the specific properties of the Banach space X and the structure of these Banach algebras. The research concentrates on two themes: 1. Let A be one of the above-mentioned Banach algebras. When is A amenable? If A is not amenable, then I wish to investigate whether A satisfies certain weaker conditions. 2. When does a certain short exact sequence split? If it splits, can the splitting homomorphism always be chosen to be continuous? The main tool in these studies is K-theory. I plan to compute the K-groups of Banach algebras of the above-mentioned kind, and I wish to determine which pairs of abelian groups that arise as (Ko(B(X)),K1(B(X))) for some Banach space X.
Training content (objective, benefit and expected impact)
I will be trained as a researcher in pure mathematics through my cooperation with experienced mathematicians (notably H.G. Dales and the team in functional analysis) at the University of Leeds and its neighbouring universities and through my participation in seminars on functional analysis and K-theory.
Links with industry / industrial relevance (22)
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics mathematical analysis functional analysis
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
LS2 9JT LEEDS
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.