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

Argyros, Spiros; Arvanitakis, Alexander

Serdica Mathematical Journal (2004)

- Volume: 30, Issue: 4, page 527-548
- ISSN: 1310-6600

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topArgyros, 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 -

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