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Positive block matrices on Hilbert and Krein C*-modules [PDF]
Surveys in Mathematics and its Applications, 2013 Let H1 and H2 be Hilbert C*-modules. In this paper we give some necessary and sufficient conditions for the positivity of a block matrix on the Hilbert C*-module H1⊕H2.
Mohammad Sal Moslehian +2 more
doaj
Generalized Bezoutians and block Hankel matrices
Linear Algebra and its Applications, 1989 Let W(z) be a rational matrix, \(W(\infty)=0,\) \(W(z)=\sum_{i>0}W_ iz^{-i}.\) Let F(z) be \(p\times p\)-, D(z) \(q\times q\)-, G and U \(p\times q\)-polynomial matrices, F and D nonsingular, and let \(F^{-1}G=UD^{- 1}=W\). The Bézoutian \(B=B(F,G;U,D)\) is the rp\(\times sq\) matrix B whose \(p\times q\) block \(B_{ij}\) is defined by \((F(z)U(y)-G(z ...
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FEBS Open Bio, EarlyView.Aged human bmMSCs are seeded in the scaffold. Osteoblastic induction can slightly increase cell's bone‐forming activity to produce bone‐like tissues, shown as the sporadic xylenol orange‐stained spots (the lower left image). Notably, pioglitazone plus EGCG co‐treatment dramatically increases cell's bone‐forming activity and bone‐like tissue production (
Ching‐Yun Chen +6 more
wiley +1 more source
FEBS Open Bio, EarlyView.Chemoresistance in bladder cancer: Macrophage recruitment associated with CXCL1, CXCL5 and CXCL8 expression is characteristic of Gemcitabine/Cisplatin (Gem/Cis) Non‐Responder tumors (right side) while Responder tumors did not show substantial tumor‐stromal crosstalk (left side). All biological icons are attributed to Bioicons: carcinoma, cancerous‐cell‐
Sophie Leypold +11 more
wiley +1 more source
The role of lipid metabolism in neuronal senescence
FEBS Open Bio, EarlyView.Disrupted lipid metabolism, through alterations in lipid species or lipid droplet accumulation, can drive neuronal senescence. However, lipid dyshomeostasis can also occur alongside neuronal senescence, further amplifying tissue damage. Delineating how lipid‐induced senescence emerges in neurons and glial cells, and how it contributes to ageing and ...
Dikaia Tsagkari +2 more
wiley +1 more source
The spectral boundary of block structured random matrices
Journal of Physics: ComplexityEconomic and ecological models can be extremely complex, with a large number of agents/species each featuring multiple interacting dynamical quantities. In an attempt to understand the generic stability properties of such systems, we define and study an ...
Nirbhay Patil +2 more
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FEBS Open Bio, EarlyView.Mouse pre‐implantation development involves a transition from totipotency to pluripotency. Integrating transcriptomics, epigenetic profiling, low‐input proteomics and functional assays, we show that eight‐cell embryos retain residual totipotency features, whereas cytoskeletal remodeling regulated by the ubiquitin‐proteasome system drives progression ...
Wanqiong Li +8 more
wiley +1 more source
HIV‐1 establishes immediate latency in T cells expressing the viral Nef protein
FEBS Open Bio, EarlyView.Nef is a viral protein often omitted from HIV‐1 reporter viruses. Consequently, its role in viral latency is unclear. We developed three novel dual reporter HIV‐1 derivatives that express Nef and allow for detection of latent and productive infection. Using these reporters, we show that Nef does not affect the establishment of immediate viral latency ...
Cindy Lam, Ivan Sadowski
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, 2023 In this master thesis, we study the block matrices and their properties. After giving a general overview on matrices, block matrices, different types of block matrices, and multiplication of two block matrices are discussed. In the inverse section, we first examine inverses of 2×2 block diagonal and block triangular matrices, ideas of proofs here can ...
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