Zobrazeno 1 - 10
of 74
pro vyhledávání: '"EMELYANOV, Eduard"'
It is proved that: each collectively order continuous set of operators from an Archimedean ordered vector space to an ordered vector space is collectively order bounded; each collectively order to norm bounded set of operators from an ordered Banach
Externí odkaz:
http://arxiv.org/abs/2410.17030
Autor:
Emelyanov, Eduard
A collectively $\sigma$-Levi set of operators is a generalization of the $\sigma$-Levi operator. By use of collective order convergence, we investigate relations between collectively $\sigma$-Levi and collectively compact sets of operators.
Externí odkaz:
http://arxiv.org/abs/2408.03686
Autor:
Emelyanov, Eduard
Collective versions of order convergences and corresponding types of collectively qualified sets of operators in vector lattices are investigated. It is proved that every collectively order continuous set of operators between Archimedean vector latti
Externí odkaz:
http://arxiv.org/abs/2408.03671
We prove collective versions of semi-duality theorems for sets of almost (limitedly, order) L-weakly compact operators.
Externí odkaz:
http://arxiv.org/abs/2407.11885
Autor:
Emelyanov, Eduard
A set of bounded linear operators from a Banach space to a Banach lattice is collectively L-weakly compact whenever union of images of the unit ball is L-weakly compact. We extend the Meyer-Nieberg duality theorem to collectively L-weakly compact set
Externí odkaz:
http://arxiv.org/abs/2407.10455
We study operators carrying disjoint bounded subsets of a Banach lattice into compact, weakly compact, and limited subsets of a Banach space. Surprisingly, these operators behave differently with classical compact, weakly compact, and limited operato
Externí odkaz:
http://arxiv.org/abs/2401.08792
Autor:
Emelyanov, Eduard
We prove that an order continuous Banach lattice E is a KB-space if and only if each positive compact operator on E is a KB operator. We give conditions on quasi-KB (resp., quasi-Levi) operators to be KB (resp., Levi), study norm completeness and dom
Externí odkaz:
http://arxiv.org/abs/2312.05685
We investigate the duality and norm completeness in the classes of limitedly--L-weakly compact and Dunford--Pettis--L-weakly compact and operators from Banach spaces to Banach lattices.
Externí odkaz:
http://arxiv.org/abs/2308.15414
We introduce new class of limitedly L-weakly compact operators from a Banach space to a Banach lattice. This class is a proper subclass of the Bourgain-Diestel operators and it contains properly the class of L-weakly compact operators. We give its ef
Externí odkaz:
http://arxiv.org/abs/2306.16338
We introduce and study the enveloping norms of regularly P-operators between Banach lattices E and F, where P is a subspace of the space L(E,F) of continuous operators from E to F. We prove that if P is closed in L(E,F) in the operator norm then the
Externí odkaz:
http://arxiv.org/abs/2212.00441