A dense domain for T₋₃,₃ in L²(−∞,∞)

Authors

  • Joseph Raphael R. Bunao ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Eric A. Galapon ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

This paper attempts to construct a domain D(T-3,3) for the operator T-3,3 in the Hilbert Space H = L2 (−∞, ∞). The domain constructed is a linear span of the basic vectors φ(e\o) satisfying suitable conditions so that |(T-3,3φ(e\o))|2 < ∞. It was then shown that D(T-3,3) is dense in L2(−∞, ∞) making T-3,3 a densely-defined operator. 

Proceedings SPP 2013 Cover

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Published

2013-10-23

Issue

2013: Proceedings of the 31st Samahang Pisika ng Pilipinas Physics Congress

Section

Theoretical Physics

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How to Cite

[1]
“A dense domain for T₋₃,₃ in L²(−∞,∞)”, Proc. SPP, vol. 31, no. 1, pp. SPP2013–1B, Oct. 2013, Accessed: Apr. 01, 2026. [Online]. Available: https://proceedings.spp-online.org/article/view/SPP2013-1B-2