Results 31 to 40 of about 276,249 (270)

Structure of Certain Banach Algebra Products [PDF]

Journal of Sciences, Islamic Republic of Iran, 2014
Let  and  be Banach algebras, ,  and . We define an -product on  which is a strongly splitting extension of  by . We show that these products form a large class of Banach algebras which contains all module extensions and triangular Banach algebras.
G. H. Esslamzadeh, A. Khotanloo, B. Tabatabaie Shourijeh   +2 more
doaj  

ON MULTIPLICATIVE LIE n-HIGHER DERIVATIONS OF TRIANGULAR ALGEBRAS [PDF]

, 2021
Let $\mathrm{R}$ be a commutative ring with unity, $\mathrm{A},\mathrm{B}$ be $\mathrm{R}$-algebras and $\mathrm{M}$ be an $(\mathrm{A}, \mathrm{B})$-bimodule. Let $\mathfrak{T}=Tri(\mathrm{A},\mathrm{M},\mathrm{B})$ be a $(n-1)$-torsion free triangular
Jabeen, Aisha, Ansari, Mohammad Afajal, Akhtar, Mohd Shuaib, Ashraf, Mohammad   +3 more
core   +5 more sources

Infinite lexicographic products of triangular algebras.

, 1995
Some new connections are given between linear orderings and triangular operator algebras. A lexicographic product is denned for triangular operator algebras, and the Jacobson radical of an infinite lexicographic product of upper triangular matrix ...
Power, S. C.
core   +4 more sources

Primitive Triangular UHF Algebras

Journal of Functional Analysis, 1998
The authors prove that a large class of triangular UHF algebras are primitive. There are cases where explicitly they give a faithful algebraically irreducible representation of the algebra on a separable Hilbert space. For other cases they follow an indirect way studying the prime ideal structure of the algebra. From this they obtain a characterization
Hudson, T.D, Katsoulis, E.G
openaire   +2 more sources

Biderivations of triangular algebras

Linear Algebra and its Applications, 2009
Let \(C\) be a commutative ring with identity. A `triangular algebra' is every algebra of the form \[ \mathcal A=\text{Tri}(A,M,B) = \begin{pmatrix} A&M \\ 0&B\end{pmatrix}, \] where \(A\) and \(B\) are unital algebras over \(C\) and \(M\) is an \((A,B)\)-bimodule which is faithful as a left \(A\)-module as well as a right \(B\)-module.
openaire   +2 more sources

Tau Aggregate Imaging and Transcriptomics of Alzheimer's Disease Brain at Different Stages of Disease

Advanced Science, EarlyView.
The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English, Dorothea Böken, Matthew W. Cotton, Matthew R. Cheetham, Johanna S. Jackson, Georg Meisl, John S. H. Danial, Paul M. Matthews, Nurun N. Fancy, David Klenerman   +9 more
wiley   +1 more source

The structure of hyperreducible triangular algebras [PDF]

Proceedings of the American Mathematical Society, 1964
Introduction. In [5] Kadison and Singer have defined triangular algebras of operators on a Hilbert space and have investigated a number of their properties with the major emphasis on classification and examples. It is the purpose of this paper to give a new construction for the hyperreducible algebras which gives some additional insight into their ...
openaire   +1 more source

Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content

Advanced Science, EarlyView.
Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri, A. Mangiarotti, C. N. Z. Schmitt, R. Dimova   +3 more
wiley   +1 more source

Multiferroic Quantum Criticality in a Proper Ferroelectric Quasi‐one‐dimensional Ising Antiferromagnet

Advanced Science, EarlyView.
Sr1−xBaxCo2V2O8 is established as a magnetic‐ion‐based proper displacive ferroelectric whose transition is continuously suppressed by Ba substitution to a ferroelectric quantum critical point. In the resulting quantum paraelectric regime, a transverse magnetic field induces magnetic quantum criticality, realizing multiferroic quantum criticality and ...
Takayuki Nagai, Peisen Yu, Akitoshi Nakano, Tsuyoshi Kimura   +3 more
wiley   +1 more source

Connes Biprojectivity in Dealing With Nilpotent Ideals and Triangular Dual Banach Algebras

Journal of Mathematics
In this paper, we investigate specific properties of nilpotent ideals within approximately Connes biprojective dual Banach algebras. Consequently, it establishes necessary and sufficient conditions for the Connes biprojectivity of triangular dual Banach ...
Batoul S. Mortazavi-Samarin, Mehdi Rostami, Amir Sahami   +2 more
doaj   +1 more source