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SIGNIFICANT ACCOUNTING POLICIES (Details 2) (USD $)
1 Months Ended 12 Months Ended
Feb. 28, 2014
property
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
item
Revenue Recognition        
Additional rental income for the reimbursement of expenses   $ 2,561,000us-gaap_TenantReimbursements $ 1,694,000us-gaap_TenantReimbursements $ 947,000us-gaap_TenantReimbursements
Purchase Accounting for Acquisition of Real Estate        
Estimated useful lives of building and intangible assets, minimum   1 year    
Estimated useful lives of building and intangible assets, maximum   54 years    
Properties Held-for-Sale        
Number of properties sold and reclassified to discontinued operations 2olp_NumberOfPropertiesAsTransferredAssetsAndLiabilitiesWhichSoldToBeReclassifiedAsPropertiesHeldForSale      
Escrow, Deposits and Other Assets and Receivables        
Escrow, Deposits, Other Assets and Receivables   1,376,000olp_EscrowDepositsOtherAssetsAndReceivables 1,453,000olp_EscrowDepositsOtherAssetsAndReceivables  
Allowance for Doubtful Accounts        
Balance in allowance for doubtful accounts   0us-gaap_AllowanceForDoubtfulAccountsReceivable    
Number of tenants from whom the doubtful collections were received       1olp_AllowanceForDoubtfulAccountsReceivableRecoveriesNumberOfTenants
Continuing operations        
Allowance for Doubtful Accounts        
Bad debt expense       56,000us-gaap_ProvisionForDoubtfulAccounts
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentContinuingOperationsMember
Discontinued operations        
Allowance for Doubtful Accounts        
Net recoveries of bad debt       $ 173,000us-gaap_AllowanceForDoubtfulAccountsReceivableRecoveries
/ us-gaap_StatementOperatingActivitiesSegmentAxis
= us-gaap_SegmentDiscontinuedOperationsMember