On the inset of a convergence domain
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- by Shen Yue Kuan PDF
- Proc. Amer. Math. Soc. 71 (1978), 241-242 Request permission
Abstract:
Let A be a conservative matrix. The main purpose of this article is to give a negative answer to the open question E raised by Macphail and Wilansky [1], namely, “If $\Lambda _A^ \bot = {I_A}$, must $\Lambda _D^ \bot = {I_D}$ for every matrix D with ${c_D} = {c_A}$?".References
- M. S. Macphail and A. Wilansky, Linear functionals and summability invariants, Canad. Math. Bull. 17 (1974), 233–242. MR 361528, DOI 10.4153/CMB-1974-046-2
- Karl Zeller, Allgemeine Eigenschaften von Limitierungsverfahren, Math. Z. 53 (1951), 463–487 (German). MR 39824, DOI 10.1007/BF01175646
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 241-242
- MSC: Primary 40D09
- DOI: https://doi.org/10.1090/S0002-9939-1978-0500498-2
- MathSciNet review: 500498