Results 81 to 90 of about 15,121 (310)

Dynamics of multivalued linear operators

Open Mathematics, 2017
We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos.
Chen Chung-Chuan, Conejero J. Alberto, Kostić Marko, Murillo-Arcila Marina   +3 more
doaj   +1 more source

Matrix metalloproteinase‐9 regulates cell adhesion and membrane protrusive activity of ovarian cancer cells

FEBS Open Bio, EarlyView.
Matrix metalloproteinase‐9 (MMP9) drives ovarian cancer progression. Using MMP9‐null cells (M9‐KO) created from ovarian cancer cells, we found MMP9 loss did not block Epidermal Growth Factor (EGF)‐driven E‐cadherin dissolution or EMT but delayed and reduced EGF‐driven membrane protrusions. Transient MMP9 re‐expression drove membrane protrusion.
Claire Strauel, Sam Bennett, Natalie Ehlinger, Nelson Cook, Katelyn Marvin, Caleb L. Lines, Sam Reyes, Brooke Kirby, Shawn M. Ellerbroek   +8 more
wiley   +1 more source

Compact well-bounded operators

, 2001
Every compact well-bounded operator has a representation as a linear combination of disjoint projections reminiscent of the representation of compact self-adjoint operators. In this note we show that the converse of this result holds, thus characterizing
Qingping, C., Doust, I.
core  

Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras

, 2014
We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Hatori, Osamu, Molnár, Lajos
core   +1 more source

Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator [PDF]

, 2011
In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space.
Winkler, Henrik,, Henrik Winkler, Hassi, Seppo,, Wietsma, Rudi,, Henk de Snoo, Jussi Behrndt, Rudi Wietsma, de Snoo, Henk, Seppo Hassi, Snoo, Henk de, Snoo, Henk de,, Behrndt, Jussi, Hassi, Seppo, Behrndt, Jussi,, Wietsma, Rudi, Winkler, Henrik   +15 more
core   +1 more source

Mass spectrometry based identification of AMP‐O‐Tris generated by Thermococcus onnurineus Cas10

FEBS Open Bio, EarlyView.
Isolated Thermococcus onnurineus Cas10 generates the noncanonical ATP‐derived product AMP‐O‐Tris while in Tris‐containing buffer as identified via mass spectrometry, revealing relaxed nucleophile selectivity under isolated conditions. These findings suggest that multiprotein Csm complex assembly restricts Cas10 reactivity toward canonical cyclic ...
Su‐Jin Lee, Ga Seul Lee, JinHan Kim, Kwang‐Hyun Park, Seong‐Ryung Go, Jeong Hee Moon, Eui‐Jeon Woo   +6 more
wiley   +1 more source

Some remarks on spectra of nuclear operators

Open Mathematics, 2018
We give criteria for the spectra of some nuclear operators in subspaces of quotients of Lp-spaces to be central-symmetric, as well as for the spectra of linear operators in Banach spaces to be Zd-symmetric in the sense of B. Mityagin.
Reinov Oleg I.
doaj   +1 more source

Blood‐based proteomic profiling reveals context‐dependent changes in BCL2‐associated signaling during taxane therapy in breast cancer patients

FEBS Open Bio, EarlyView.
Chemotherapy side effects significantly impact cancer survivors' quality of life. Using protein levels in blood samples from breast cancer patients before and after 12 weeks of taxane treatment, we detected treatment‐dependent changes in calcium signaling and aging pathways associated with cancer recurrence.
Saira Munshani, Eiman Y. Ibrahim, Rozalyn L. Rodwin, Leah M. Ferrucci, Kim Blenman, Maryam Lustberg, Barbara E. Ehrlich   +6 more
wiley   +1 more source

Compact embeddings of broken Sobolev spaces and applications [PDF]

, 2009
In this paper, we present several extensions of theoretical tools for the analysis of discontinuous Galerkin (DG) method beyond the linear case.
Buffa, Annalisa, Ortner, Christoph
core   +1 more source

ON LOGARITHMS OF LINEAR OPERATORS ON HILBERT SPACES

Demonstratio Mathematica, 2002
Let \(T\) and \(N\) be bounded linear operators on some complex Hilbert space, and assume that \(N\) is normal and \(\text{e}^T=N\). In this setting, the main results of the paper under review provide sufficient conditions for \(T\) to be normal. Here are some samples: (a) If the spectral radius \(r(T)\) of \(T\) is strictly less than \(\pi\), then \(T\
openaire   +1 more source