The operator equation $THT=K$
نویسندگان
چکیده
منابع مشابه
The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules
In this paper, we find explicit solution to the operator equation $TXS^* -SX^*T^*=A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $T,S$ have closed ranges and $S$ is a self adjoint operator.
متن کاملOperator splitting for the KdV equation
We provide a new analytical approach to operator splitting for equations of the type ut = Au + B(u) where A is a linear operator and B is quadratic. A particular example is the Korteweg–de Vries (KdV) equation ut−uux +uxxx = 0. We show that the Godunov and Strang splitting methods converge with the expected rates if the initial data are sufficiently regular.
متن کاملOperator Upscaling for the Acoustic Wave Equation
Modeling of wave propagation in a heterogeneous medium requires input data that varies on many different spatial and temporal scales. Operator-based upscaling allows us to capture the effect of the fine scales on a coarser domain without solving the full fine-scale problem. The method applied to the constant density, variable sound velocity acoustic wave equation consists of two stages. First, ...
متن کاملOn the operator equation A + B = Sigma
In the paper the equation of the form A+B = P , w h e r e A and B are binary aggregation operators, is investigated. A necessary and suu-cient condition for binary aggregation operators to be solutions of this equation, is proved. Already known solutions in some special classes of aggrega-tion operators, e.g., in the class of triangular norms and conorms, in the class of quasi{arithmetic means ...
متن کاملAiry equation with memory involvement via Liouville differential operator
In this work, a non-integer order Airy equation involving Liouville differential operator is considered. Proposing an undetermined integral solution to the left fractional Airy differential equation, we utilize some basic fractional calculus tools to clarify the closed form. A similar suggestion to the right FADE, converts it into an equation in the Laplace domain. An illustration t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1972
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1972-0306958-6