Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces

Argyros, Spiros, and Arvanitakis, Alexander. "Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces." Serdica Mathematical Journal 30.4 (2004): 527-548. <http://eudml.org/doc/219589>.

@article{Argyros2004,
abstract = {2000 Mathematics Subject Classification: Primary 46E15, 54C55; Secondary 28B20.For weakly compact subsets of Hilbert spaces K, we study the existence of totally disconnected spaces L, such that C(K) is isomorphic to C(L). We prove that the space C(BH ) admits a Pełczyński decomposition and we provide a starshaped weakly compact K, subset of BH with non-empty interior in the norm topology, and such that C(K) ~= C(L) with L totally disconnected.Research partially supported by EPEAEK program “Pythagoras”.},
author = {Argyros, Spiros, Arvanitakis, Alexander},
journal = {Serdica Mathematical Journal},
keywords = {C(K) Spaces; Weakly Compact Sets; Regular Averaging Operators; Regular Extension Operators; spaces; weakly compact sets; regular averaging operators; regular extension operators; Eberlein compacts},
language = {eng},
number = {4},
pages = {527-548},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces},
url = {http://eudml.org/doc/219589},
volume = {30},
year = {2004},
}

TY - JOUR
AU - Argyros, Spiros
AU - Arvanitakis, Alexander
TI - Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces
JO - Serdica Mathematical Journal
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 30
IS - 4
SP - 527
EP - 548
AB - 2000 Mathematics Subject Classification: Primary 46E15, 54C55; Secondary 28B20.For weakly compact subsets of Hilbert spaces K, we study the existence of totally disconnected spaces L, such that C(K) is isomorphic to C(L). We prove that the space C(BH ) admits a Pełczyński decomposition and we provide a starshaped weakly compact K, subset of BH with non-empty interior in the norm topology, and such that C(K) ~= C(L) with L totally disconnected.Research partially supported by EPEAEK program “Pythagoras”.
LA - eng
KW - C(K) Spaces; Weakly Compact Sets; Regular Averaging Operators; Regular Extension Operators; spaces; weakly compact sets; regular averaging operators; regular extension operators; Eberlein compacts
UR - http://eudml.org/doc/219589
ER -