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Relations Between Banach Function Algebras and Frechet Function Algebras
Sady, F . 호남수학회 1998 호남수학학술지 Vol.20 No.1
In this paper we define the concept of Fre´chet function algebras on hemicompact spaces. So we show that under certain condition they can be represented as a projective limit of Banach function algebras. Then the class of Fre´chet Lipschitz algebras on hemicompact metric Spaces are defined and their relations with the class of Lipschitz algebras on compact metric spaces are studied.
Sadi Memiş 대한구강악안면외과학회 2022 대한구강악안면외과학회지 Vol.48 No.1
Objectives: Prolotherapy is a method that has gained popularity in recent years and has been reported to have positive short-term and long-term clini-cal results in maxillofacial surgery, especially temporomandibular joint (TMJ) hypermobility. This study aimed to evaluate the changes in the trabecu-lar structure of mandibular condyles in patients who underwent prolotherapy due to TMJ hypermobility using the fractal analysis method. Materials and Methods: Forty-five patients who received dextrose prolotherapy at a concentration of 20% and fifteen control patients were included in the study. All patients had panoramic radiographs just before (T0) and six months after treatment (T1). The patients who received treatment were di-vided into three groups according to the number of prolotherapy injections. The regions of interest were selected from bone areas close to the articular surfaces of the condyles. The fractal dimension (FD) values were calculated. Results: The main effect of time on the FD value was significant [F (1, 56)=86.176, P<0.001]. This effect was qualified by a significant time×group interaction effect [F (3, 56)=9.023, P<0.001]. The decreases in FD values in all treatment groups between T0 and T1 times were significant (P=0.004). However, changes in FD values were not significant in the control group (P=0.728). Conclusion: Dextrose prolotherapy without the effect of the number of injections caused a decrease in FD values in the mandibular condyles over time.
SUBADDITIVE SEPARATING MAPS BETWEEN REGULAR BANACH FUNCTION ALGEBRAS
Sady, Fereshteh,Estaremi, Yousef Korean Mathematical Society 2007 대한수학회보 Vol.44 No.4
In this note we extend the results of [3] concerning subadditive separating maps from A=C(X) to B=C(Y), for compact Hausdorff spaces X and Y, to the case where A and B are regular Banach function algebras(not necessarily unital) with A satisfying Ditkin#s condition. In particular we describe the general form of these maps and get a result on continuity of separating linear functionals.
RELATIONS BETWEEN BANACH FUNCTION ALGEBRAS AND FRÉCHET FUNCTION ALGEBRAS
SADY, F. The Honam Mathematical Society 1998 호남수학학술지 Vol.20 No.1
In this paper we define the concept of $Fr{\acute{e}}chet$ function algebras on hemicompact spaces. So we show that under certain condition they can be represented as a projective limit of Banach function algebras. Then the class of $Fr{\acute{e}}chet$ Lipschitz algebras on hemicompact metric spaces are defined and their relations with the class of lipschitz algebras on compact metric spaces are studied.
PROJECTIVE LIMIT OF A SEQUENCE OF BANACH FUNCTION ALGEBRAS AS A FRECHET FUNCTION ALGEBRA
Sady. F. Korean Mathematical Society 2002 대한수학회보 Vol.39 No.2
Let X be a hemicompact space with ($K_{n}$) as an admissible exhaustion, and for each n $\in$ N, $A_{n}$ a Banach function algebra on $K_{n}$ with respect to $\parallel.\parallel_n$ such that $A_{n+1}\midK_{n}$$\subsetA_n$ and${\parallel}f{\mid}K_n{\parallel}_n{\leq}{\parallel}f{\parallel}_{n+1}$ for all f$\in$$A_{n+1}$, We consider the subalgebra A = { f $\in$ C(X) : $\forall_n\;{\epsilon}\;\mathbb{N}$ of C(X) as a frechet function algebra and give a result related to its spectrum when each $A_{n}$ is natural. We also show that if X is moreover noncompact, then any closed subalgebra of A cannot be topologized as a regular Frechet Q-algebra. As an application, the Lipschitzalgebra of infinitely differentiable functions is considered.d.
Subadditive separating maps between regular Banach function algebras
Fereshteh Sady,Yousef Estaremi 대한수학회 2007 대한수학회보 Vol.44 No.4
In this note we extend the results of [3] concerning subaddi-tive separating maps from A = C(X ) to B = C(Y), for compact Haus-dor spacesX and Y, to the case whereA and B are regular Banachfunction algebras (not necessarily unital) with A satisfying Ditkin’s con-dition. In particular we describe the general form of these maps and geta result on continuity of separating linear functionals.
Projective limit of a sequence of Banachfunction algebras as a Fr'echet function algebra
F. Sady 대한수학회 2002 대한수학회보 Vol.39 No.2
Let X be a hemicompact space with (K_n) as anadmissible exhaustion, and for each n in Bbb N, A_n a Banachfunction algebra on K_n with respect to | cdot |_n suchthat A_{n+1}|_{K_n} subset A_n and |f|_{K_n}|_nle|f|_{n+1} for all f in A_{n+1}. We consider the subalgebraA = { fin C(X) : f|_{K_n}in A_n, forall n in Bbb N} ofC(X) as a Fr'echet function algebra and give a result relatedto its spectrum when each A_n is natural. We also show that ifX is moreover noncompact, then any closed subalgebra of Acannot be topologized as a regular Fr'echet Q-algebra. As anapplication, the Lipschitz algebra of infinitely differentiablefunctions is considered.
Research on Trust-Based Access Control in The Internet of Things
Pardis Pourghomi,Sadi Evren SEKER,Gheorghita Ghinea,Wassim Masri 보안공학연구지원센터 2016 International Journal of Security and Its Applicat Vol.10 No.12
The paper established TBRI(Trust-Based RBAC in IoT)model,calculation of trust value as the core in TBRI. It established groups, objects’ access threshold, objects’ influence and object evaluation, in order to realize accuracy calculation and prevent hackers obtain trust value through malicious repeated operation. Because the subjects in the Internet of things can be used as objects at the same time, TBRI use different trust value calculation formula to enhance the credibility of the trust value.