scholarly journals Bounded Linear Types in a Resource Semiring

Author(s):  
Dan R. Ghica ◽  
Alex I. Smith
Keyword(s):  



2020 ◽  
Vol 22 (1) ◽  
pp. 123-135 ◽  
Author(s):  
Yalda Khazaei-poul ◽  
Shohreh Farhadi ◽  
Sepideh Ghani ◽  
Safar Ali Ahmadizad ◽  
Javad Ranjbari

: Peptides are considered to be appropriate tools in various biological fields. They can be primarily used for the rational design of bioactive molecules. They can act as ligands in the development of targeted therapeutics as well as diagnostics, can be used in the design of vaccines or can be employed in agriculture. Peptides can be classified in two broad structural classes: linear and cyclic peptides. Monocyclic peptides are a class of polypeptides with one macrocyclic ring that bears advantages, such as more selective binding and uptake by the target receptor, as well as higher potency and stability compared to linear types. This paper provides an overview of the categories, synthesis methods and various applications of cyclic peptides. The various applications of cyclic peptides include their use as pro-apoptotic and anti-microbial agents, their application as targeting ligands in drug delivery and diagnostic agents, as well as agricultural and therapeutics applications that are elaborated and discussed in this paper.



Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2249-2255
Author(s):  
Huanyin Chen ◽  
Marjan Abdolyousefi

It is well known that for an associative ring R, if ab has g-Drazin inverse then ba has g-Drazin inverse. In this case, (ba)d = b((ab)d)2a. This formula is so-called Cline?s formula for g-Drazin inverse, which plays an elementary role in matrix and operator theory. In this paper, we generalize Cline?s formula to the wider case. In particular, as applications, we obtain new common spectral properties of bounded linear operators.



Author(s):  
S. J. Bernau ◽  
F. Smithies

We recall that a bounded linear operator T in a Hilbert space or finite-dimensional unitary space is said to be normal if T commutes with its adjoint operator T*, i.e. TT* = T*T. Most of the proofs given in the literature for the spectral theorem for normal operators, even in the finite-dimensional case, appeal to the corresponding results for Hermitian or unitary operators.



2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Shijie Sun ◽  
Meiling Feng ◽  
Luoyi Shi

Abstract This paper considers an iterative algorithm of solving the multiple-sets split equality problem (MSSEP) whose step size is independent of the norm of the related operators, and investigates its sublinear and linear convergence rate. In particular, we present a notion of bounded Hölder regularity property for the MSSEP, which is a generalization of the well-known concept of bounded linear regularity property, and give several sufficient conditions to ensure it. Then we use this property to conclude the sublinear and linear convergence rate of the algorithm. In the end, some numerical experiments are provided to verify the validity of our consequences.



Author(s):  
JinRong Wang ◽  
Ahmed G. Ibrahim ◽  
Donal O’Regan ◽  
Adel A. Elmandouh

AbstractIn this paper, we establish the existence of mild solutions for nonlocal fractional semilinear differential inclusions with noninstantaneous impulses of order α ∈ (1,2) and generated by a cosine family of bounded linear operators. Moreover, we show the compactness of the solution set. We consider both the case when the values of the multivalued function are convex and nonconvex. Examples are given to illustrate the theory.



1990 ◽  
Vol 32 (3) ◽  
pp. 273-276 ◽  
Author(s):  
Muneo Chō

In this paper we shall examine the relationship between the numerical ranges and the spectra for semi-normal operators on uniformly smooth spaces.Let X be a complex Banach space. We denote by X* the dual space of X and by B(X) the space of all bounded linear operators on X. A linear functional F on B(X) is called state if ∥F∥ = F(I) = 1. When x ε X with ∥x∥ = 1, we denoteD(x) = {f ε X*:∥f∥ = f(x) = l}.



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