Add to ORKGWe introduce nonwandering operators in infinite-dimensional separable Banach space. They are new linear chaotic operators and are relative to hypercylic operators, but dif-ferent from them. Firstly, we show some examples for nonwandering operators in some typical infinite-dimensional Banach spaces, including Banach sequence space and physi-cal background space. Then we present some properties of nonwandering operators and the spectra decomposition of invertible nonwandering operators. Finally, we obtain that invertible nonwandering operators are locally structurally stable. 1
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
Sufficient conditions are given for chaotic behaviour of continuous transformations on Banach spaces...
We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new lin...
We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new li...
In this paper we examine the relationship between the various subclasses of well-bounded operators...
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional ...
We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call se...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact op...
In this paper, we construct maximally monotone operators that are not of Gossez’s dense-type (D) in ...
The theory of well-bounded operators has found many applications and formed deep connections with ot...
In this paper, we construct maximally monotone operators that are not of Gossez’s dense-type (D) in ...
Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators ma...
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
Sufficient conditions are given for chaotic behaviour of continuous transformations on Banach spaces...
We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new lin...
We introduce nonwandering operators in infinite-dimensional separable Banach space. They are new li...
In this paper we examine the relationship between the various subclasses of well-bounded operators...
We prove that if X is any complex separable infinite-dimensional Banach space with an unconditional ...
We introduce and study a weaker form of Devaney chaotic operators on Banach spaces, which we call se...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
It is proved that every infinite-dimensional non-archimedean Banach space of countable type admits ...
In this paper, the invariant Subspace Problem is studied for the class of non-Archimedean compact op...
In this paper, we construct maximally monotone operators that are not of Gossez’s dense-type (D) in ...
The theory of well-bounded operators has found many applications and formed deep connections with ot...
In this paper, we construct maximally monotone operators that are not of Gossez’s dense-type (D) in ...
Banach algebras over arbitrary complete non-Archimedean fields are considered such that operators ma...
Many of the best-known questions about separable infinite-dimensional Banach spaces are of at least ...
AbstractA vectorxin a Banach space B is called hypercyclic for a bounded linear operatorT:B→B if the...
Sufficient conditions are given for chaotic behaviour of continuous transformations on Banach spaces...