Results 51 to 60 of about 3,589,565 (274)
Linear inverse problems for integro-differential equations in Banach spaces with a bounded operator
Современная математика: Фундаментальные направленияIn this paper, we study the questions of well-posedness of linear inverse problems for equations in Banach spaces with an integro-differential operator of the Riemann-Liouville type and a bounded operator at the unknown function.
V. E. Fedorov, A. D. Godova
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ON REPRESENTATION OF ONE CLASS OF SCHMIDT OPERATORS
Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper, unitary symmetrizers are considered. It is well known that using Newton operatoralgorithm, similar to the usual Newton algorithm, for extracting the square root, one can provethat for every Hermitian operator T 0, there exists a unique ...
I. Orazov, A. A. Shaldanbaeva
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A Lower Bound for the Differences of Powers of Linear Operators [PDF]
Acta Mathematica Sinica, English Series, 2006 The authors prove that, if \(L\) is a quasi-nilpotent bounded linear operator in a Banach space \(X\) such that \(L \neq 0\), then \[ \liminf_{n\to\infty}(n+1)\|(I-L)^nL\|\geq {\frac{1}{e}}. \] They also prove that, for any \(T\in {\mathcal L}(X)\), either (i) \(\limsup_{n\to\infty}(n+1)\|(I-T)T^n\|\geq \frac{1}{e}\), or (ii) \(\limsup_{n\to\infty}(n+1)
Malinen Jarmo +3 more
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Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
FEBS Letters, EarlyView.In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
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Translophagy—A potential link between autophagy impairment and translational errors
FEBS Letters, EarlyView.Neurodegenerative diseases are characterised by the accumulation of abnormal proteins and protein aggregates, but their origin often remains unknown. We propose that selective autophagy removes damaged protein‐making machinery, preventing errors during protein synthesis.
Mykola V. Korolchuk +11 more
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Spectrum of a family of operators [PDF]
Surveys in Mathematics and its Applications, 2011 Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space.
Simona Macovei
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Exponential Function of a bounded Linear Operator on a Hilbert Space.
مجلة بغداد للعلوم, 2014 In this paper, we introduce an exponential of an operator defined on a Hilbert space H, and we study its properties and find some of properties of T inherited to exponential operator, so we study the spectrum of exponential operator e^T according to the
Baghdad Science Journal
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The Singular Value Expansion for Arbitrary Bounded Linear Operators
Mathematics, 2020 The singular value decomposition (SVD) is a basic tool for analyzing matrices. Regarding a general matrix as defining a linear operator and choosing appropriate orthonormal bases for the domain and co-domain allows the operator to be represented as ...
Daniel K. Crane, Mark S. Gockenbach
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Some Properties of Continuous $K$-frames in Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 The theory of continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory.
Gholamreza Rahimlou +3 more
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Lower Bounds for Linear Operators
CoRRWe consider a static data structure problem of computing a linear operator under cell-probe model. Given a linear operator $M \in \mathbb{F}_2^{m \times n}$, the goal is to pre-process a vector $X \in \mathbb{F}_2^n$ into a data structure of size $s$ to answer any query $\langle M_i , X \rangle$ in time $t$. We prove that for a random operator $M$, any
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