Consistency and inclusion results for Toeplitz matrices of bounded linear operators
Compositio Mathematica, Volume 24 (1972) no. 3, p. 313-327
@article{CM_1972__24_3_313_0,
author = {Wood, B.},
title = {Consistency and inclusion results for Toeplitz matrices of bounded linear operators},
journal = {Compositio Mathematica},
publisher = {Wolters-Noordhoff Publishing},
volume = {24},
number = {3},
year = {1972},
pages = {313-327},
zbl = {0238.46010},
mrnumber = {310497},
language = {en},
url = {http://www.numdam.org/item/CM_1972__24_3_313_0}
}

Wood, B. Consistency and inclusion results for Toeplitz matrices of bounded linear operators. Compositio Mathematica, Volume 24 (1972) no. 3, pp. 313-327. http://www.numdam.org/item/CM_1972__24_3_313_0/

A. Alexiewicz And W. Orlicz [1] ] Consistency theorems for Banach space analogues of Toeplitzian methods of summability, Studia Math., XVIII (1959), 199-210. | MR 108667 | Zbl 0096.03701

H.I. Brown [2] The summability field of a perfect l-l method of summation, Journal D'Analy. Math., XX (1967), 281-287. | MR 218785 | Zbl 0174.45104

H.I. Brown [3] Entire methods of summation, Comp. Math. 21 (1969), 35-42. | Numdam | MR 243223 | Zbl 0172.33802

H.I. Brown And V.F. Cowling [4] On consistency of l-l methods of summation, Mich. Math. J. 12 (1965), 357-362. | MR 184004 | Zbl 0136.35302

V.F. Cowling [5] Inclusion relations between matrices, Math. Zeitschr. 98 (1967), 192-195. | MR 211127 | Zbl 0147.04902

R.H. Cox And R.E. Powell [6] Regularity of net summability transforms on certain linear topological spaces, Proc. A.M.S. 21 No. 2 (1969), 471-477. | MR 243235 | Zbl 0174.17901

M.S. Macphail [7] Some theorems on absolute summability, Canad. J. Math. 3 (1951), 386-390. | MR 44654 | Zbl 0044.06701

S. Mazur [8] Eine Anwendung der Theorie der Operationen bei der Untersuchung der Toeplitzchen Limitierungsverfahren, Studia Math. 2 (1930), 40-50. | JFM 56.0906.03

H. Melvin - Melvin [9] Generalized K-transformations in Banach spaces, Proc. London Math. Soc. (second series) 53 (1951), 83-108. | MR 42054 | Zbl 0042.12502

M.S. Ramanujan [10] Generalized Kojima-Toeplitz matrices in certain linear topological spaces, Math. Annalen 159 (1965), 365-373. | MR 216203 | Zbl 0139.08303

M.S. Ramanujan [11] Vector sequence spaces and perfect summability matrices of operators in Banach spaces, to appear in Publ. of the Ramanujan Inst. India. | MR 273373 | Zbl 0196.08101

A. Robinson [12] On functional transformations and summability, Proc. London Math. Soc. (second series) 52 (1950), 132-160. | MR 37371 | Zbl 0039.06203

A. Wilansky [13] Functional Analysis, Blaisdell, New York, 1964. | MR 170186 | Zbl 0136.10603

B. Wood [14] Series to sequence and series to series transformations in Fréchet spaces, Math. Annalen 184 (1970), 224-232. | MR 257606 | Zbl 0176.10704

B. Wood [15] On l-l summability, Proc. A.M.S. Vol. 25 2 June 1970, p. 433-437. | MR 256024 | Zbl 0193.36503

K. Zeller [16] Allgemeine Eigenschaften von Limitierungsverfahren, Math. Z. 53 (1951), 463-487. | MR 39824 | Zbl 0045.33403

K. Zeller [17] Verallgemeinerte Matrixtransformationen, Math. Z. 56 (1952), 18-20. | MR 49341 | Zbl 0046.33603