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A class of Banach sequence spaces analogous to the space of Popov

Parviz Azimi, A. A. Ledari (2009)

Czechoslovak Mathematical Journal

Hagler and the first named author introduced a class of hereditarily l 1 Banach spaces which do not possess the Schur property. Then the first author extended these spaces to a class of hereditarily l p Banach spaces for 1 p < . Here we use these spaces to introduce a new class of hereditarily l p ( c 0 ) Banach spaces analogous of the space of Popov. In particular, for p = 1 the spaces are further examples of hereditarily l 1 Banach spaces failing the Schur property.

A class of locally convex spaces without 𝒞 -webs

Manuel Valdivia (1982)

Annales de l'institut Fourier

In this article we give some properties of the tensor product, with the ϵ and π topologies, of two locally convex spaces. As a consequence we prove that the theory of M. de Wilde of the closed graph theorem does not contain the closed graph theorem of L. Schwartz.

A class of statistical and σ -conservative matrices

Hüsamettin Çoşkun, Celal Çakan (2005)

Czechoslovak Mathematical Journal

In [5] and [10], statistical-conservative and σ -conservative matrices were characterized. In this note we have determined a class of statistical and σ -conservative matrices studying some inequalities which are analogous to Knopp’s Core Theorem.

A class of weighted convolution Fréchet algebras

Thomas Vils Pedersen (2010)

Banach Center Publications

For an increasing sequence (ωₙ) of algebra weights on ℝ⁺ we study various properties of the Fréchet algebra A(ω) = ⋂ ₙ L¹(ωₙ) obtained as the intersection of the weighted Banach algebras L¹(ωₙ). We show that every endomorphism of A(ω) is standard, if for all n ∈ ℕ there exists m ∈ ℕ such that ω m ( t ) / ω ( t ) as t → ∞. Moreover, we characterise the continuous derivations on this algebra: Let M(ωₙ) be the corresponding weighted measure algebras and let B(ω) = ⋂ ₙM(ωₙ). If for all n ∈ ℕ there exists m ∈ ℕ such that...

A classification for real and complex finite dimensional * -algebras

Mauro Meschiari (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

La presente Nota contiene una lista di J -algebre reali di dimensione finita ed una lista di J -algebre complesse di dimensione finita tali che: 1) due elementi distinti di ogni lista non sono mai J -isomorfi; 2) ogni J -algebra di dimensione finita reale (complessa) è J —isomorfa su 𝐑 (su 𝐂 ) alla somma diretta, finita, di J -algebre reali (complesse) elencate nella lista. In altre parole, diamo qui una classificazione completa delle J —algebre reali e delle J -algebre complesse di dimensione finita. Nel...

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