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On the Semadeni derivative of Banach spaces C(K, X)
(Adam Skalski, 2022)
The Semadeni derivative of a Banach space X, denoted by S(X), is the
quotient of the space of all weak* sequentially continuous functionals in X** by the canon-
ical copy of X. In a remarkable 1960 paper, Z. Semadeni ...
ON ISOMORPHIC CLASSIFICATIONS OF SPACES OF COMPACT OPERATORS
(AMER MATHEMATICAL SOC, 2009)
We prove an extension of the classical isomorphic classification of Banach spaces of continuous functions on ordinals. As a consequence, we give complete isomorphic classifications of some Banach spaces K(X,Y(n)), eta >= ...
On isomorphism classes of C(2(m) circle plus [0, alpha]) spaces
(POLISH ACAD SCIENCES INST MATHEMATICS, 2009)
We provide a complete isomorphic classification of the Banach spaces of continuous functions on the compact spaces 2(m) circle plus [0, alpha], the topological sums of Cantor cubes 2(m), with m smaller than the first ...
Automorphisms and isomorphisms of quantum generalized Weyl algebras
(Academic Press Inc Elsevier Science, 2015-02)
We classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including the case where the parameter q is a root of unity, thereby completing the ...
Isomorphism of graph classes related to the circular-ones property
(Discrete Mathematics and Theoretical Computer Science, 2013-03)
We give a linear-time algorithm that checks for isomorphism between two 0-1 matrices that obey the circular-ones property. Our algorithm is similar to the isomorphism algorithm for interval graphs of Lueker and Booth, ...
Isomorphisms between spaces of Lipschitz functions
(Guido De Philippis, 2019)
We develop tools for proving isomorphisms of normed spaces
of Lipschitz functions over various doubling metric spaces and Banach
spaces. In particular, we show that Lip0(Zd) ≃ Lip0(Rd), for all d ∈ N.
More generally, ...
Isomorphisms of Nonnoetherian Down-Up Algebras
(Springer, 2018-12)
We solve the isomorphism problem for nonnoetherian down-up algebras A(α, 0, γ) by lifting isomorphisms between some of their noncommutative quotients. The quotients we consider are either quantum polynomial algebras in two ...
COMPLETE ISOMORPHIC CLASSIFICATIONS OF SOME SPACES OF COMPACT OPERATORS
(AMER MATHEMATICAL SOC, 2010)
This paper is a continuation and a complement of our previous work on isomorphic classification of some spaces of compact operators. We improve the main result concerning extensions of the classical isomorphic classification ...
An equivalent formulation for the graph isomorphism problem
(Universidad Nacional de Costa Rica, 2016)
The isomorphism problem for graph magma algebras
(One-value) graph magma algebras are algebras having a basis B = V boolean OR {1} such that, for all u,v is an element of V, uv is an element of {u,0}. Such bases induce graphs and, conversely, certain types of graphs ...