On vector lattice-valued measures. I.

Thiruvaiyaru V. Panchapagesan; Shivappa Veerappa Palled

Mathematica Slovaca (1983)

  • Volume: 33, Issue: 3, page 269-292
  • ISSN: 0139-9918

How to cite

top

Panchapagesan, Thiruvaiyaru V., and Palled, Shivappa Veerappa. "On vector lattice-valued measures. I.." Mathematica Slovaca 33.3 (1983): 269-292. <http://eudml.org/doc/34163>.

@article{Panchapagesan1983,
author = {Panchapagesan, Thiruvaiyaru V., Palled, Shivappa Veerappa},
journal = {Mathematica Slovaca},
keywords = {vector lattice-valued outer measures; outer regularity; completion; Caratheodory extension of spectral and bounded positive operator valued measures in Banach spaces; Bessaga-Pelczynski property},
language = {eng},
number = {3},
pages = {269-292},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On vector lattice-valued measures. I.},
url = {http://eudml.org/doc/34163},
volume = {33},
year = {1983},
}

TY - JOUR
AU - Panchapagesan, Thiruvaiyaru V.
AU - Palled, Shivappa Veerappa
TI - On vector lattice-valued measures. I.
JO - Mathematica Slovaca
PY - 1983
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 33
IS - 3
SP - 269
EP - 292
LA - eng
KW - vector lattice-valued outer measures; outer regularity; completion; Caratheodory extension of spectral and bounded positive operator valued measures in Banach spaces; Bessaga-Pelczynski property
UR - http://eudml.org/doc/34163
ER -

References

top
  1. BADE W. G., On Boolean algebras of projections and algebras of operators, Trans. Amer. Math. Soc, 80, 1955, 345-360. (1955) Zbl0066.36202MR0073954
  2. BERBERIAN S. K., Notes on Spectral Theory, D. Van Nostrand, Princeton, N. J , 1966. (1966) Zbl0138.39104MR0190760
  3. BESSAGA C., PELCZYŃSKI A., On bases and unconditional convergence of series in Banach spaces, Studia Math, 17, 1958, 151-163. (1958) Zbl0084.09805MR0115069
  4. FREMLIN D. H., A direct proof of the Matthes-Wright integral extension theorem, J. London Math. Soc., 11, 1975, 276-284. (1975) Zbl0313.06016MR0380345
  5. HALMOS P. R., Measure Theory, D. Van Nostrand, New York 1950 Zbl0283.28001MR0033869
  6. KADISON R. V., A representation Theory for Commutative Topological Algebra, Memoirs Amer. Math. Soc., 7, 1951. (1951) Zbl0042.34801MR0044040
  7. KELLEY J. L., General Topology, D. Van Nostrand, New York, 1955. (1955) Zbl0066.16604MR0070144
  8. KLUVÁNEK I., The extension and closure of vector measure, Proceedings of the conference on vector and Operator-valued measures. Snowbird, Utah, Academic Press, 1973, 175-190. (1973) Zbl0302.28009MR0335741
  9. LUMER G., Semi-inner-product spaces, Trans. Amer. Math. Soc. 100, 1961, 29-43. (1961) Zbl0102.32701MR0133024
  10. MATTHES K., Über die Ausdehnung positiver linearer Abbildungen, Math. Nachr., 23, 1961, 223-257. (1961) Zbl0104.08801MR0152622
  11. PANCHAPAGESAN T. V., Semi-groups of scalar type operators in Banach spaces, Pacific J. Math., 30, 1969, 489-517. (1969) Zbl0179.46002MR0433259
  12. PANCHAPAGESAN T. V., Extension of spectral measures, Illinois J. Math. 16, 1972, 130-142. (1972) Zbl0227.47003MR0303335
  13. PANCHAPAGESAN T. V., SHIVAPPA VEERAPPA PALLED, A generalized spectral mapping theorem, J. Madras Univ. 41(2) B(1978) 46-53. (1978) MR0695789
  14. PANCHAPAGESAN T. V., SHIVAPPA VEERAPPA PALLED, On vector lattice-valued measures - III, (communicated). 
  15. VULIKH B. Z., Introduction to the Theory of Partially Ordered Spaces, Wolters-Noordhoff Scientific Publications Ltd., Groningen 1967. (1967) Zbl0186.44601MR0224522
  16. WRIGHT J. D. M., Stone-algebra-valued measures and integrals, Proc. London Math. Soc., 19, 1969, 107-122. (1969) Zbl0186.46504MR0240276
  17. WRIGHT J. D. M., Vector lattice measures on locally compact spaces, Math. Z., 120, 1971, 193-203. (1971) Zbl0198.47803MR0293373
  18. WRIGHT J. D. M., The measure extension problem for vector lattices, Annales de l'Institut Fourier, Grenoble, 21, 4 1971, 65-85. (1971) Zbl0215.48101MR0330411
  19. WRIGHT J. D. M., Extension of infinite vector lattice measures, The Quarterly J. Math., 23, 1972, 259-265. (1972) MR0322133
  20. WRIGHT J. D. M., An algebraic characterization of vector lattices with the Borel regularity property, J. London Math. Soc, 7, 1973, 277-285. (1973) Zbl0266.46036MR0333116
  21. MATTHES K., Über eine Schar von Regularitätsbedingungen fur Verbande, Math, Nachr., 22, 1960, 93-128. (1960) MR0125035
  22. RIEČAN B., On the extension of operators with values in semiordered spaces, (Russian), Čas. Pěst. Mat., 93, 1968, 459-471. (1968) MR0248544
  23. VOLAUF P., Extension and regularity of l-group valued measures, Math. Slovaca, 27, 1977, 47-53. (1977) MR0476989

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.