Factorization of cone \((\mathbb{B},p)\)-summing operators

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Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system’s guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. DOI: 10.23671/VNC.2015.4.5974 Factorization of cone \((\mathbb{B},p)\)-summing operators Tasoev B. B. Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 4. Abstract: For a complete Boolean algebra \(\mathbb{B}\) and a real \(p\geq1\) we introduce the class of cone \((\mathbb{B},p)\)-summing operators and prove a factorization result for this class. Keywords: Banach lattice, \(\mathbb{B}\)-cyclic Banach space, cone \((\mathbb{B},p)\)-summing operators, factorization, \((\mathbb{B},p)\)-superadditive norm Language: Russian Download the full text For citation: Tasoev B. B. Factorization of cone \((\mathbb{B},p)\)-summing operators. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 4, pp.75-79. DOI 10.23671/VNC.2015.4.5974 + References 1. Kusraev A. G. Boolean Valued Analysis Approach to Injective Banach Lattices, Vladikavkaz, SMI VSC RAS, 2011, 28 p. (Preprint no. 1). 2. Kusraev A. G. Mazhoriruemye Operatory [Dominated Operators], M., Nauka, 2003, 619 p. (Russian). 3. Meyer-Nieberg P. Banach Lattices, Berlin etc., Springer, 1991, 395 p. 4. Kusraev A. G., Kutateladze S. S. Boolean Valued Analysis: Selected Topics, Vladikavkaz, SMI VSC RAS, 2014, iv+400 p. (Trends in Science: The South of Russia. Math. Monogr. Issue 6). 5. Kusraev A. G. Boolean Valued Analysis Approach to Injective Banach Lattices II, Vladikavkaz, SMI VSC RAS, 2012, 16 p. (Preprint no. 1). ← Contents of issue


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