Results 31 to 40 of about 1,203,844 (201)
A remark on the slice map problem
International Journal of Mathematics and Mathematical Sciences, 1994 It is shown that there exist a σ-weakly closed operator algebra A˜, generated by finite rank operators and a σ-weakly closed operator algebra B˜ generated by compact operators such that the Fubini product A˜⊗¯FB˜ contains properly A˜⊗¯B˜.
Muneo Chō, Tadasi Huruya
doaj +1 more source
Mathematics, 2021 In this article, we introduce a new class of operators on the Cartesian product of vector lattices. We say that a bilinear operator T:E×F→W defined on the Cartesian product of vector lattices E and F and taking values in a vector lattice W is narrow if ...
Marat Pliev +2 more
doaj +1 more source
Continuous Operators for Unbounded Convergence in Banach Lattices
Mathematics, 2022 Recently, continuous functionals for unbounded order (norm, weak and weak*) in Banach lattices were studied. In this paper, we study the continuous operators with respect to unbounded convergences.
Zhangjun Wang, Zili Chen
doaj +1 more source
Quantum stochastic operator cocycles via associated semigroups. [PDF]
, 2007 A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic ...
Wills, S. J., Lindsay, J. Martin
core +4 more sources
Fixed-Point Theory on a Frechet Topological Vector Space
International Journal of Mathematics and Mathematical Sciences, 2011 We establish some versions of fixed-point theorem in a Frechet topological vector space E. The main result is that every map A=BC (where B is a continuous map and C is a continuous linear weakly compact operator) from a closed convex subset of a Frechet ...
Afif Ben Amar +2 more
doaj +1 more source
On the Quotients of Regular Operators
Universal Journal of Mathematics and Applications, 2019 We give some results about quotients of regular operators on Banach lattices by the linear span of the positive M-weakly and positive L-weakly compact operators.
Erdal Bayram +1 more
doaj +1 more source
Approximating compact and weakly compact operators [PDF]
Proceedings of the American Mathematical Society, 1961 REMARKS. To place the theorem in context consider all operators as mapping the Banach space X into the Banach space Y and consider the topology a to be that of almost uniform convergence on the unit ball of X utilizing the norm topology on Y. The second theorem gives a similar result for weakly compact operators.
openaire +1 more source
Property (h) of Banach Lattice and Order-to-Norm Continuous Operators
Mathematics, 2023 In this paper, we introduce the property (h) on Banach lattices and present its characterization in terms of disjoint sequences. Then, an example is given to show that an order-to-norm continuous operator may not be σ-order continuous.
Fu Zhang, Hanhan Shen, Zili Chen
doaj +1 more source
Weakly compact operators and interpolation
Acta Applicandae Mathematicae, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources
Uniform Convergence and Spectra of Operators in a Class of Fréchet Spaces
Abstract and Applied Analysis, 2014 Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a bounded operator T to the operator norm convergence of certain sequences of operators generated by T, are extended to ...
Angela A. Albanese +2 more
doaj +1 more source