منابع مشابه
Extension of Linear Selectors of Linear Fuzzy Multivalued Operators
We prove an extension theorem for linear selectors of linear fuzzy multivalued operators.
متن کاملLomonosov’s Invariant Subspace Theorem for Multivalued Linear Operators
The famous Lomonosov’s invariant subspace theorem states that if a continuous linear operator T on an infinite-dimensional normed space E “commutes” with a compact operator K 6= 0, i.e., TK = KT, then T has a non-trivial closed invariant subspace. We generalize this theorem for multivalued linear operators. We also provide some applications to singlevalued linear operators.
متن کاملMultivalued Linear Operators and Differential Inclusions in Banach Spaces
In this paper, we study multivalued linear operators (MLO’s) and their resolvents in non reflexive Banach spaces, introducing a new condition of a minimal growth at infinity, more general than the HilleYosida condition. Then we describe the generalized semigroups induced by MLO’s. We present a criterion for an MLO to be a generator The work of A. Baskakov and V. Obukhovskii is partially support...
متن کاملOn the Multivalued Poincaré Operators
By Poincaré operators we mean the translation operator along the trajectories of the associated differential system and the first return (or section) map defined on the cross section of the torus by means of the flow generated by the vector field. The translation operator is sometimes also called as Poincaré–Andronov or Levinson or, simply, T -operator. In the classical theory (see [K], [W], [Z...
متن کاملNotes on the Dynamics of Linear Operators
These are notes for a series of lectures that illustrate how continuous linear transformations of infinite dimensional topological vector spaces can have interesting dynamical properties, the study of which forges new links between the theories of dynamical systems, linear operators, and analytic functions.
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: Open Mathematics
سال: 2017
ISSN: 2391-5455
DOI: 10.1515/math-2017-0082