Deening Composition Operators for Object Interaction Deening Composition Operators for Object Interaction
نویسندگان
چکیده
Note: Most SVRC technical reports are available via anonymous ftp, from ftp.cs.uq.edu.au in the directory /pub/SVRC/techreports. Abstract Operations in object-oriented systems are often a composition of other operations, deened across multiple objects. The aim of this paper is to formally develop a suite of composition operators for specifying object interaction through operation composition. Experience with using Object-Z to design a range of object-oriented systems has suggested that four composition operators, conjunction, parallel, choice and sequential composition, are necessary and, at least for commonly occurring architectures, suu-cient. In this paper, an abstract model of operations in object-oriented systems is rst developed and used as the basis for deening the formal semantics of these composition operators.
منابع مشابه
A Modular Approach to Deening Composition Operators a Modular Approach to Deening Composition Operators
In object-oriented systems, collections of interlinked objects work together towards achieving some goal. The aim of this paper is to introduce and deene a formal semantics of a suite of composition operators for specifying object interactions. Composition operators are speciied using a modular parametric approach which highlights the generality of such operators. Composition frameworks that ca...
متن کاملEssential norm estimates of generalized weighted composition operators into weighted type spaces
Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...
متن کاملComposition operators acting on weighted Hilbert spaces of analytic functions
In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.
متن کاملEstimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces
Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.
متن کاملWeighted composition operators between Lipschitz algebras of complex-valued bounded functions
In this paper, we study weighted composition operators between Lipschitz algebras of complex-valued bounded functions on metric spaces, not necessarily compact. We give necessary and sufficient conditions for the injectivity and the surjectivity of these operators. We also obtain sufficient and necessary conditions for a weighted composition operator between these spaces to be compact.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996