Results 61 to 70 of about 2,405 (191)

A commutative noncommutative fractal geometry

open access: yes, 2011
In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid, Samuel, Anthony
core   +1 more source

On Partially Ordering Operator Algebras

open access: yes, 1967
In this paper, we consider linear spaces and algebras with real scalars. It is well known that if X is a Banach space and is the set of all bounded linear operators which map X into itself, then is a Banach algebra.
Ralph Demarr
core   +1 more source

Centrality in BL (X), The Banach algebra of bounded linear operators

open access: yes, 2002
In this paper we show that for a complex Banach algebra A = BL(X) of all bounded linear operators on the Banach space X, the set of all rho-quasi central elements of A is a subset of each of. (i) the set of all discrete rho-quasi central elements; (U) the set of all continuous rho-quasi central elements; (W) the set of all residual rho-quasi central ...
As’ad, As’ad Y., Sarsuor, Jasser H
openaire   +1 more source

Ternary structures in Hilbert spaces

open access: yes, 2011
PhDTernary structures in Hilbert spaces arose in the study of in nite dimensional manifolds in di erential geometry. In this thesis, we develop a structure theory of Hilbert ternary algebras and Jordan Hilbert triples which are Hilbert spaces equipped
Bahmani, Fatemeh
core  

Weyl type theorems for bounded linear operators on Banach spaces

open access: yes, 2011
In 1909 H. Weyl [59] studied the spectra of all compact linear perturbations of a self-adjoint operator defined on a Hilbert space and found that their intersection consisted precisely of those points of the spectrum where are not isolated eigenvalues of
Pietro Aiena, AIENA, Pietro
core   +1 more source

A global theory of algebras of generalized functions II: tensor distributions

open access: yes, 2012
We extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of tensor distributions in the sense of L. Schwartz.
Steinbauer, Roland   +3 more
core  

Centralizers in semisimple algebras, and descent spectrum in Banach algebras

open access: yes, 2011
We prove that semisimple algebras containing some algebraic element whose centralizer is semiperfect are artinian. As a consequence, semisimple complex Banach algebras containing some element whose centralizer is algebraic are finite-dimensional.
A. Kaidi   +5 more
core   +1 more source

p-adic vertex operator algebras. [PDF]

open access: yesRes Number Theory, 2023
Franc C, Mason G.
europepmc   +1 more source

Dynamics of Generalised Derivations and Elementary Operators [PDF]

open access: yes, 2018
We identify concrete examples of hypercyclic generalised derivations acting on separable ideals of operators and establish some necessary conditions for their hypercyclicity.
Gilmore, Clifford, Clifford Gilmore
core   +1 more source

HERMITIAN OPERATORS ON BANACH ALGEBRAS OF VECTOR-VALUED LIPSCHITZ MAPS (Researches on isometries from various viewpoints) [PDF]

open access: yes, 2017
Let H be a complex Hilbert space and [., .] an inner-product on H. A bounded linear operator T on H is a Hermitian operator if [Tx, x] in mathbb{R} for each x in H. In 1961, the Hermitian operator on a normed vector space was defined by means of the semi-
Oi, Shiho
core  

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