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Problems concerning n -weak amenability of a Banach algebra

Alireza Medghalchi, Taher Yazdanpanah (2005)

Czechoslovak Mathematical Journal

In this paper we extend the notion of n -weak amenability of a Banach algebra 𝒜 when n . Technical calculations show that when 𝒜 is Arens regular or an ideal in 𝒜 * * , then 𝒜 * is an 𝒜 ( 2 n ) -module and this idea leads to a number of interesting results on Banach algebras. We then extend the concept of n -weak amenability to n .

Problems in the theory of quantum groups

Shuzhou Wang (1997)

Banach Center Publications

This is a collection of open problems in the theory of quantum groups. Emphasis is given to problems in the analytic aspects of the subject.

Proč řešit graficky úlohy lineárního programování

Andrea Kubišová (2016)

Učitel matematiky

At universities focused on economy, Operation Research topics are usually included in the study plan, including solving of Linear Programming problems. A universal tool for their algebraic solution is (numerically difficult) Simplex Algorithm, for which it is necessary to know at least the fundamental of Matrix Algebra. To illustrate this method of solving LP problems and to discuss all types of results, it seems to be very convenient to include a chapter about graphic solutions to LP problems....

Product of vector measures on topological spaces

Surjit Singh Khurana (2008)

Commentationes Mathematicae Universitatis Carolinae

For i = ( 1 , 2 ) , let X i be completely regular Hausdorff spaces, E i quasi-complete locally convex spaces, E = E 1 ˘ E 2 , the completion of the their injective tensor product, C b ( X i ) the spaces of all bounded, scalar-valued continuous functions on X i , and μ i E i -valued Baire measures on X i . Under certain...

Product spaces generated by bilinear maps and duality

Enrique A. Sánchez Pérez (2015)

Czechoslovak Mathematical Journal

In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of functional analysis that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown, regarding pointwise...

Product Theorems for Certain Summability Methods in Non-archimedean Fields

P.N. Natarajan (2003)

Annales mathématiques Blaise Pascal

In this paper, K denotes a complete, non-trivially valued, non-archimedean field. Sequences and infinite matrices have entries in K . The main purpose of this paper is to prove some product theorems involving the methods M and ( N , p n ) in such fields K .

Products and projective limits of function spaces

Miroslav Kačena (2008)

Commentationes Mathematicae Universitatis Carolinae

We introduce a notion of a product and projective limit of function spaces. We show that the Choquet boundary of the product space is the product of Choquet boundaries. Next we show that the product of simplicial spaces is simplicial. We also show that the maximal measures on the product space are exactly those with maximal projections. We show similar characterizations of the Choquet boundary and the space of maximal measures for the projective limit of function spaces under some additional assumptions...

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