Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
PERTURBATIONS OF NONASSOCIATIVE BANACH ALGEBRAS
Date
2009-01-01
Author
Dosi, Anar
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
195
views
0
downloads
Cite This
In this note we prove that if either 21 is a Banach-Jordan algebra or a Banach-Lie algebra then all perturbations of the multiplication in 21 give algebras topologically isomorphic with 21 whenever certain small-dimension cohomology groups associated with 21 are vanishing.
Subject Keywords
General Mathematics
URI
https://hdl.handle.net/11511/63414
Journal
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
DOI
https://doi.org/10.1216/rmj-2009-39-2-509
Collections
Natural Sciences and Mathematics, Article
Suggestions
OpenMETU
Core
Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem
Dosi (Dosiev), A. A. (IOP Publishing, 2009-11-01)
We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
The Fine Moduli Space of Representations of Clifford Algebras
Coşkun, Emre (Oxford University Press (OUP), 2011-01-01)
Given a fixed binary form f(u,v) of degree d over a field k, the associated Clifford algebra is the k-algebra C(f)=k{u,v}/I, where I is the two-sided ideal generated by elements of the form (alpha u+beta v)(d)-f(alpha,beta) with alpha and beta arbitrary elements in k. All representations of C(f) have dimensions that are multiples of d, and occur in families. In this article, we construct fine moduli spaces U=U(f,r) for the irreducible rd-dimensional representations of C(f) for each r >= 2. Our construction ...
On equivariant Serre problem for principal bundles
Biswas, Indranil; Dey, Arijit; Poddar, Mainak (World Scientific Pub Co Pte Lt, 2018-08-01)
Let E-G be a Gamma-equivariant algebraic principal G-bundle over a normal complex affine variety X equipped with an action of Gamma, where G and Gamma are complex linear algebraic groups. Suppose X is contractible as a topological Gamma-space with a dense orbit, and x(0) is an element of X is a Gamma-fixed point. We show that if Gamma is reductive, then E-G admits a Gamma-equivariant isomorphism with the product principal G-bundle X x rho E-G(x(0)), where rho : Gamma -> G is a homomorphism between algebraic...
Chirality of real non-singular cubic fourfolds and their pure deformation classification
Finashin, Sergey (Springer Science and Business Media LLC, 2020-02-22)
In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of coefficients preserving the hypersurface non-singular. Here, we perform a finer classification giving a full answer to the chirality problem: which of real non-singular cubic hypersurfaces can not be continuously deformed to their mirror reflection.
Fr,chet Sheaves and Taylor Spectrum for Supernilpotent Lie Algebra of Operators
Dosi, Anar (Springer Science and Business Media LLC, 2009-07-01)
In the paper we investigate the transversality property of the Fr,chet algebras of formally radical functions in elements of a nilpotent Lie algebra and its relationship to the Taylor spectrum of a family of bounded linear operators generating a supernilpotent Lie algebra.
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
A. Dosi, “PERTURBATIONS OF NONASSOCIATIVE BANACH ALGEBRAS,”
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
, pp. 509–526, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63414.