11ebc35a-6c74-4bc9-aa7d-e4b24e7b967220210520081848496wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40513220213220212010.37394/23206.2021.20https://wseas.org/wseas/cms.action?id=23278Toeplitz Like Operators on 2-nuclear Tensor Product of Hardy SpacesAmaniShatarahDepartment of Mathematics, Taibah University Al Madina, Saudi Arabiain this paper, we investigated Toeplitz like operators on vector valued Hardy spaces. Toeplitz like operators on 2-nuclear tensor product of Hardy spaces are then constructed and described using the theory of p-nuclear tensor product of Banach spaces, and their basic algebraic properties and spectrum are analyzed.52020215202021255263https://www.wseas.org/multimedia/journals/mathematics/2021/a525106-1368.pdf10.37394/23206.2021.20.26https://www.wseas.org/multimedia/journals/mathematics/2021/a525106-1368.pdfDouglas, R, Banach Algebra Techniques in Operator Theory. Academic Press, New York, (1972). Light, W. Cheney, E, Approximation Theory in Tensor Product Spaces, New York: Springer-Verlag, (1985). Holub, J, Hilibertion Operators and Reflexive Tensor Product, J. Paci. Math, 36, (1971), 185 − 194. 10.1090/s0002-9939-1966-0188786-5Brown, A. Pearcy, C, Spectra of Tensor Products of Operators, Proc. Amer. Math. Soc, 17,(1966), 162 − 166. Brown, A. Halmos, P, Algebraic Properties of Toeplitz Operators, J. Reine Angew Math, 213, (1964), 89 − 102. Kreyzig, E, Introductory Functional Analysis with Applications, New York: John Wiley and Sons, (1978). 10.37394/23206.2020.19.44Allabadi M, When Intersection Ideals of Graphs of Rings are a Divisor graph, WSEAS Transactions on Mathematics. 2020, 19: 430-433. 10.37394/23206.2020.19.66Allabadi M, Al-muhur E, Planar of special idealization rings, WSEAS Transactions on Mathematics. 2020; 19: 606-609.