CONVOLUTION-FACTORABLE MULTILINEAR OPERATORS
Revista de la Union Matematica Argentina, cilt.65, sa.1, ss.103-117, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 65 Sayı: 1
- Basım Tarihi: 2023
- Doi Numarası: 10.33044/revuma.2356
- Dergi Adı: Revista de la Union Matematica Argentina
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals, DIALNET
- Sayfa Sayıları: ss.103-117
- Anahtar Kelimeler: convolution, factorization, Hilbert-Schmidt operators, integral representation, Multilinear operators, polynomials, zero product pre-serving map
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Marmara Üniversitesi Adresli: Evet
Özet
We study multilinear operators defined on topological products of Banach algebras of integrable functions and Banach left modules with con-volution product. The main theorem of the paper presents a factorization for multilinear operators through convolution that implies the property known as zero product preservation. By using this factorization we investigate prop-erties of multilinear operators including integral representations and we give applications related to orthogonally additive homogeneous polynomials and Hilbert-Schmidt operators.