Results 21 to 30 of about 4,141,252 (211)
On closed operators with closed range [PDF]
Proceedings of the American Mathematical Society, 1960 It is well-known that if T is an everywhere defined bounded operator on a Banach space X to a Banach space Y and T* is its adjoint, then the range R(T*) of T* is closed in X* if and only if the range R(T) of T is closed in Y (cf. [2, pp. 487-489]). The object of this note is to establish this result for closed but possibly unbounded operators.
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Forum Médical Suisse ‒ Swiss Medical Forum, 2010 Ein 48-jahriger Mann konsultierte in seinen Ferien in der Schweiz wegen Fieber bis 39° und Schuttelfrost ohne weitere Begleitsymptome den Notfallarzt. Klinisch konnte kein Infektfokus eruiert werden, das C-reaktive Protein (CRP) war jedoch mit 154 mg/dl deutlich erhoht, und es fand sich im Blutbild eine Linksverschiebung bei normaler Leukozytenzahl ...
M Rüdy +5 more
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The Closed Extensions of a Closed Operator [PDF]
Integral Equations and Operator Theory, 2019 Given a densely defined and closed operator $A$ acting on a complex Hilbert space $\mathcal{H}$, we establish a one-to-one correspondence between its closed extensions and subspaces $\mathfrak{M}\subset\mathcal{D}(A^*)$, that are closed with respect to the graph norm of $A^*$ and satisfy certain conditions.
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Switching imidazole reactivity by dynamic control of tautomer state in an allosteric foldamer
Nature Communications, 2023 Molecular biology achieves control over complex reaction networks by means of molecular systems that translate a chemical input (such as ligand binding) into an orthogonal chemical output (such as acylation or phosphorylation).
David P. Tilly +3 more
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Maintaining and breaking symmetry in homomeric coiled-coil assemblies
Nature Communications, 2018 Higher order coiled coils with five or more helices can form α-helical barrels. Here the authors show that placing β-branched aliphatic residues along the lumen yields stable and open α-helical barrels, which is of interest for the rational design of ...
Guto G. Rhys +6 more
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Electrochemical synthesis of biaryls by reductive extrusion from N,N’-diarylureas
Nature Communications, 2023 The synthesis of biaryl compounds by the transition-metal free coupling of arenes is an important contemporary challenge, aiming to avoid the toxicity and cost profiles associated with the metal catalysts commonly used in the synthesis of these ...
Ellie Stammers +3 more
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Sakarya University Journal of Education, 2013 Ders kitapları, öğretmenle öğrenci arasında kurulan iletişimin ilk ve en önemli basamağını oluşturmaktadır. Bu iletişimin baştan itibaren yerinde ve nitelikli kurulması hem öğrencinin ilerideki başarısını doğrudan etkileyecek hem de öğretmenin ders içi ...
Erdal Özcan
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A care team-based classification and population management schema for connected diabetes care
npj Digital Medicine, 2020 It has been proposed that telehealth may help to combat the epidemic of diabetes and other chronic diseases in the US. As a result of rapid technological advancement over the past decade, there has been an explosion in virtual diabetes management program
Brian J. Levine +2 more
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Advantages and disadvantages of connected insulin pens in diabetes management
Endocrine Connections, 2023 Insulin administration remains vital to the treatment of diabetes and although there have been advances in insulin delivery, evidence suggests that many people with diabetes on insulin therapy have suboptimal glycemic management.
Kathryn Lingen +3 more
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