Consistency and inclusion results for Toeplitz matrices of bounded linear operators

B. Wood

Compositio Mathematica (1972)

  • Volume: 24, Issue: 3, page 313-327
  • ISSN: 0010-437X

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Wood, B.. "Consistency and inclusion results for Toeplitz matrices of bounded linear operators." Compositio Mathematica 24.3 (1972): 313-327. <http://eudml.org/doc/89124>.

@article{Wood1972,
author = {Wood, B.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {313-327},
publisher = {Wolters-Noordhoff Publishing},
title = {Consistency and inclusion results for Toeplitz matrices of bounded linear operators},
url = {http://eudml.org/doc/89124},
volume = {24},
year = {1972},
}

TY - JOUR
AU - Wood, B.
TI - Consistency and inclusion results for Toeplitz matrices of bounded linear operators
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 24
IS - 3
SP - 313
EP - 327
LA - eng
UR - http://eudml.org/doc/89124
ER -

References

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  1. A. Alexiewicz And W. Orlicz [1] ] Consistency theorems for Banach space analogues of Toeplitzian methods of summability, Studia Math., XVIII (1959), 199-210. Zbl0096.03701MR108667
  2. H.I. Brown [2] The summability field of a perfect l-l method of summation, Journal D'Analy. Math., XX (1967), 281-287. Zbl0174.45104MR218785
  3. H.I. Brown [3] Entire methods of summation, Comp. Math.21 (1969), 35-42. Zbl0172.33802MR243223
  4. H.I. Brown And V.F. Cowling [4] On consistency of l-l methods of summation, Mich. Math. J.12 (1965), 357-362. Zbl0136.35302MR184004
  5. V.F. Cowling [5] Inclusion relations between matrices, Math. Zeitschr.98 (1967), 192-195. Zbl0147.04902MR211127
  6. 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. Zbl0174.17901MR243235
  7. M.S. Macphail [7] Some theorems on absolute summability, Canad. J. Math.3 (1951), 386-390. Zbl0044.06701MR44654
  8. S. Mazur [8] Eine Anwendung der Theorie der Operationen bei der Untersuchung der Toeplitzchen Limitierungsverfahren, Studia Math.2 (1930), 40-50. Zbl56.0906.03JFM56.0906.03
  9. H. Melvin - Melvin [9] Generalized K-transformations in Banach spaces, Proc. London Math. Soc. (second series) 53 (1951), 83-108. Zbl0042.12502MR42054
  10. M.S. Ramanujan [10] Generalized Kojima-Toeplitz matrices in certain linear topological spaces, Math. Annalen159 (1965), 365-373. Zbl0139.08303MR216203
  11. 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. Zbl0196.08101MR273373
  12. A. Robinson [12] On functional transformations and summability, Proc. London Math. Soc. (second series) 52 (1950), 132-160. Zbl0039.06203MR37371
  13. A. Wilansky [13] Functional Analysis, Blaisdell, New York, 1964. Zbl0136.10603MR170186
  14. B. Wood [14] Series to sequence and series to series transformations in Fréchet spaces, Math. Annalen184 (1970), 224-232. Zbl0176.10704MR257606
  15. B. Wood [15] On l-l summability, Proc. A.M.S. Vol. 25 2 June 1970, p. 433-437. Zbl0193.36503MR256024
  16. K. Zeller [16] Allgemeine Eigenschaften von Limitierungsverfahren, Math. Z.53 (1951), 463-487. Zbl0045.33403MR39824
  17. K. Zeller [17] Verallgemeinerte Matrixtransformationen, Math. Z.56 (1952), 18-20. Zbl0046.33603MR49341

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